Carl Friedrich Gauss
Carl Friedrich Gauss
is sometimes referred to as the "Prince of Mathematicians" and the
"greatest mathematician since antiquity". He has had a remarkable
influence in many fields of mathematics and science and is ranked as one
of history's most influential mathematicians.
Gauss was a child prodigy. There are many anecdotes concerning his
precocity as a child, and he made his first ground-breaking mathematical
discoveries while still a teenager.
At just three years old, he corrected an error in his father payroll
calculations, and he was looking after his father’s accounts on a
regular basis by the age of 5. At the age of 7, he is reported to have
amazed his teachers by summing the integers from 1 to 100 almost
instantly (having quickly spotted that the sum was actually 50 pairs of
numbers, with each pair summing to 101, total 5,050). By the age of 12,
he was already attending gymnasium and criticizing Euclid’s geometry.
Although his family was poor and working class, Gauss' intellectual
abilities attracted the attention of the Duke of Brunswick, who sent him
to the Collegium Carolinum at 15, and then to the prestigious
University of Göttingen (which he attended from 1795 to 1798). It was as
a teenager attending university that Gauss discovered (or independently
rediscovered) several important theorems.
![Graphs of the density of prime numbers](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_u_DnDK8HMEFkE2E7oXbya6WHkg3-_76EyhS-ajzuQOTDDK-2_IvXqjqUUI3Txs6KnOyDF8wHU8wUsg4Yn5bNdSdZsmBS0x31kDPueamGJcYRKL7CixBigfAu1aZg=s0-d) |
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vby67fkLKDPCXe60X_DW7FFBBuNu-BJ12JWoCo53athR_s8GSSDu05bkHXzYCDgtPcTJzpm6UhWwhIVwpr1feQDDgA7ISOy95bE146m3VJe6PgjAskg7PJlBmakUzxsP61=s0-d)
Graphs of the density of prime numbers
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vby67fkLKDPCXe60X_DW7FFBBuNu-BJ12JWoCo53athR_s8GSSDu05bkHXzYCDgtPcTJzpm6UhWwhIVwpr1feQDDgA7ISOy95bE146m3VJe6PgjAskg7PJlBmakUzxsP61=s0-d)
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At 15, Gauss was the first to find any kind of a pattern in the
occurrence of prime numbers, a problem which had exercised the minds of
the best mathematicians since ancient times. Although the occurrence of
prime numbers appeared to be almost competely random, Gauss approached
the problem from a different angle by graphing the incidence of primes
as the numbers increased. He noticed a rough pattern or trend: as the
numbers increased by 10, the probability of prime numbers occurring
reduced by a factor of about 2 (e.g. there is a 1 in 4 chance of getting
a prime in the number from 1 to 100, a 1 in 6 chance of a prime in the
numbers from 1 to 1,000, a 1 in 8 chance from 1 to 10,000, 1 in 10 from
1 to 100,000, etc). However, he was quite aware that his method merely
yielded an approximation and, as he could not definitively prove his
findings, and kept them secret until much later in life.
Gaussian Elimination
It was introduce as a procedure for solving a system of linear equations.
Matrix
- is a rectangular array of numbers a, symbol or expression arranged in rows and columns
Entry
- Is the individual items in the matrix
aij
Row Subscript
- The index
i above is called row subscript because it identifies the row in which the entry lies
Column Subscript
- The index
j is called the Column Subscript because it identifies the column in which the entry lies
Square of Order
n
- A matrix with m rows and n columns (an m x n ) is said to be the size. If m=n then the matrix is called square of order n
Main Diagonal Entries
a11, a12, a33...
Augmented Matrix
-the matrix derived from the coefficient and constant terms of a system of linear equation
Coefficient Matrix
- The matrix containing only the coefficients of the system
Elementary Row Operations
1. Interchange two equations
2. Multiply an equation by a non-zero constant
3.Add a multiple of an equation to another equation
Examples:
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)
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)
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apWkxX3xY/vGqa47OZ8Oer0CttoQn0kpsr11/UdZx6OfH6iSRJ0jZ2s5/Ppic9i5uv9T/Wv2xTxvRuwOXyRmxj3P9Y/8GfHSwvcu6Tc9OF6Y6dHZN/nLx8+fLs7Gz7zvZkc5I2gT76q6PhyiZ3Fz650Hlf57X2P/un2ZZbWlpva9UlmhuW3mtq8vdXdH1O5xs2QptVVlR6p48V6ky8kftAT3803b6zffqP0wsHl/S+ASdOneja21Xv0dVM532dyeZkSX7ovLczk8lcKG2UJpsXPrmQyWQ6770iCZz9/dkQQseujlUbRrqy/DqBpC7WRoBOzz/SAD34zGBapLtw0D3x6omDh5a/hUrfo30bM0AvmXW+QlNI+59PTkyGEJIkOVc8V/6s3L6jvfWO1oUXaPmzctf9Xdfpxdu1t6v1jtY0fMONSc/isrdlF86Hjzx7JGlKjj5/9Po/CNc3/cf5ucMruozXyOzsbDqrfa1Dzzp2oXThOp3L1tNfSPqbdu3tmp2db4F87KVjSZJshA7Qi428PpI0JQd/Nv8ve654rvWO1lwut5pnEb0P9aZxZRXu3vLVrY0uHP0/7q9cqpQr5T3f29O+o308Pz7w1EBvX296n7yOXR2DTw0u+4Mb8/pa8ePigSeWKWhJtd7WmtZDt97V2vfDvsKHhYEnBqpz1ROvnqjMVg7884E9nXsyWzKbmjYdff7o8j3R5kLPwz2VSmX83fGNsBKZlZMkyfjb40PPDe2+d3dmU6YyW2ltbR3PX1FVCTdg7N/mawmWrJa5Sbdmb63OVcNcKF8qZzKZ4eeGT/36VDVUO+/tTO88te4deOJA4ePCtb66sOxsHWjZ2jLx3sSRZ4/s7ti99ZatlYuVzObMxMRELlefmrd66drbNb5t/PC/HL41e2umOVOdrfY80NP3eN9qVoHv2Lnj+K+PV6vV/Jl8xz21fEffjK9d/vNtddal/T/aP/zCcLlcVkxZQz37elq2tgw+O5g0JWEujL0z1qD3qQc2qu6/7x59YzSzOVP+k1XOsLYVPizc2XpnCGHwZ4MHf7qynae/ujW5iPCr25gz0CtoLvT8Y0/7zvYjvzyS/t1OFabWzaoRYN1ImzXdmbuz3gMBblbrHa3prRDz/57/0m9eNWujhOOGbfAuHDXX8489U1NTIYSp96fCXAghTPxhov/R/i/5MYBVVPi4ULlYCSHs+KvlbwsFrC3td7Xnz+Qn358Mc40SXRtjFLVWmint/8H+mcrM9NR0kiTtO9pbvtnSdV9XuqaQGzPw04FTr50KIRQ+vKIALnuHZr1AA5l8f/4Gaa3b109JLmxkrd9qzZ/JVy5VCh8XGuQOteszQLdsbRn5zUi9R7HeDD41eK3FmgCNI71QFv58t0tgrcu1zq/dnJyabJAAvc5roAHYaKb+MB+gs7e7PgbrwcK17sLUNZvArDIBGoB1pVAohBBatrbovwTrw0KHxKkPp+o7kgUCNADrR6VSKX1aCiFks6afYZ1o2dKSJEkIofjR0vuK14sADcD6sXB83bZtW10HAtROU0jv7Fb4uJA2Aas7ARqA9WP6/PxNvLPbzEDD+jF/TWkuFM43RBm0AA3A+jHz6Uz6oPkvmus7EqCGtm7dmj4olxri9qICNADrR7E4X8Kx9Zat9R0JUEPZrfPXlIrnG6IMWoAGYP0oz8zPTrVsaanvSIAaWrimNDMzU9+RpARoANaP8zPn0wfNGSUcsH5ktsx3pSwUG6IGen3eiRBYE/Jn8sPPDXft7Wq7qy2zJbMpbJouTp/5tzMT702c/s3peo+ONan82fwMdObrK9IEOv9O/vDPD2cymdAUZj6d6drb1f9o/4Y9lp7815OHnzk8XZiu90BWRKVSGXxqcOoPU1u3bp25OJPZnBl8ZrBBboO3anr29WRvy3bs6mi9vXXT5k3lSnlqamrkjZHuvd1d93et5kgWTolnK7Or+bzXslHf9EADqFQqo78dHf3t6OKNmUxGeuaGlS6W0gcrMQM99NzQwE8HJn43kcvl0uf6u+/93dhbY6fHTidNSc2frjFVLlXKlfLU+1Mnf31y9Lej67XbSeli6e677u7Y1XH67fl/3JP/erIt13b6N6c77umo9+hWT+HDwqnXTh1++vDijV17u7ruW9X0HELIbJ4/JZ65qIQD2PAWx44kSfY9uG/6g+n2ne11HBJrWrVSTR8kmRon2qmpqQOPHxh8ajBNzyGEli0tJ149kT+TH3pmqLbP1cgGnhzo7uoe++1Y2462eo9lBe3/wf5qtXr0V0cXPqN6Huzp2dvTva+7UqnUd2yrbPGndOsdrcdeOTby+sjqT8AuvKOrl6qr/dzLEaCBeur9Ye+FTy6cnTg7OTlZLpdPvnoy7ZYPN6B6qVqdq4YQkiSp+ZTw4M8HQwhde6+YeMvels1tzx154Ui12hAH9VVw9Pmjk7+fPPbKsc7/q7PeY1kphQ8Lo2+Odt7bmd79bkHn/Z2Vi5Xhl4frNbC6mC5OT/9x+uzvzl745MJ0Ybr3od66DKP56/PXlEqfleoygCUEaKCekqak5ZaW9h3tuVxuybEKYpUrK9WCo1qtjv12LEmS7C1LKxbavtVWuVjJv5Ov7TNSR6Ovj4YQWluXljvntudCCCNvjNRhTPXTvLm5dXtr+872+s5uZDLzJRwLV5nqS4AG6imdL4SaqFyav7ZeDTV+XU2+P1mtVlu2LhMgki1JCCH/rgC9fuT/PR8WtX1Y0LylOYQw9f5Ug1QRbCibkk3pg3K1IW6kYhHhhjP8wnD+nXxoCjMzM0//t6c7dnYM/WJo4t2J9LVw9FdHlz1CwArZOEuvWAXV2flYs7DeqFbSezdkmpfZbUumJYRQOt8Ql5WpieInxbDcdYyFSdBisdi6fWO142gcDXL2YgZ6Yznw+IHqXPXk6MmR0ZGu+7u6v9d9+OeHQwgjvxlp+3bb6Jujw89vrNIu6q46Vz3+8vE939vTs69nd8fuPX+7x0weNfC/13h/11n4Pzs3Gxb1n2YdSG/Hc53rYwvNXjaC6Y+mH3n4ke6u7p59PW1tbQM/HVi41LOaFs5eGoQZ6A0k/06+Wq32P9af/jH37VylUjn+0vHpj6ZDCOmqiGx2fTYk2iCGnxve//j+2J+a/uN0HadSTv7rydyzuYW+dUO/GNrTsefYK8d6Huyp15BYuxZqoGt+ZaNcvuZV401Nm0IIYa62T0g9pQHxOq+ijbNmNIRw+ODhY68cSwugSxdLd++4+8y/nTk9drqOibY6V6371UsBegMZem7o2CvHFv5YOF8IIXTt7UpfhadHTxdnios7Ow6/OHzqtVNJU1IoFDrv7Tz41MGrV8/QUHof7e3a2xVVVZxsTup4x+PstuzR548uzsr9P+4ffmn4kR880nZX20a7YQE1VPMa6PmUvJx0Bjr9P+uJFRohhO7/u7vvR30LWbllS8vTTz39D/v+4cDjBxYnilVWvVSteZ/KWAJ0LZVmSgtnpUlIFj7Bl33cnGle5bO33od6F9c3F6YKIYTOe+b7EOXuyuVCbuGrh396uFwtn82fDU2heL64e9fu/I782ffPqpBuZGlHi3qPIkIul1toqbug696uoReGhp8fPvqro3UZFetAWpdcQ8nXr3m0TrN18+a1dOfw9Gj1pcep9PGmzKZGu3q+0jKZTKVSuc4c58ZpGXTwpweXbNlzz54QwvF/Pf70U0+v8hEnSZLGmfsXoGtm4t2Ju79791f//kwmU/qstJrXIJa0Lx17ZyxpSpbthF+aKY38z5HJ30+mf8xuyx755ZHuru7DPz189CWZhpWV9jQYe2us3gNh7alcnC/NLJVqXKI635BhuTqN2epsaLwCzeu4gaNV+bPyhsoLzZnmSqVydVZbmJOu44W7ult4L4y9M1avntCzc7OZUOd3nEWENdO+s/1yjHK5XMcKntJMqfhxsTXXuuxa9ffee68wVTj81Be37uy8tzPINNRU4cPCIz94ZOzNpS+qluaWEELp0w20RodaWeg71tJS43yT3rC6Ul5m7VRaL5u9bc1UuN3A0WpDpecQQuvtrSGE8qWlhe/zHYibQkt2QwTo4eeGDzx+4Oo7L6anizMzq31L7YWJ/+uUVK0aAXqDyp/JhxA6vtOxeOPCmyS7Lbvk4zJJkmRz0iDNF7mWoeeGvhZv6oOpuox24KcDx18+3r2ve8n2NKPUvb6NNe3q6HOT2u9qD02hNFO6ui427XCXu2tpMRJrV+6vciGEmU+WBsRisRhCaL1t+bmndabwYWH/4/uHnhs6/vLxJV9K08Lq/yU01E3UN9hJJX925syZEEL7zvaFLcVPi4efPHzs1WMhhFwuNzt7xYKYqamp6qVqx86OQAPrf7S/a29XMveV6hrTx0mS1KuuvTnTHEJYvG41Vb5YDiF07lq3dwlmNdS6J0aSJF33dY2+OVo6X1oy2VwoFJLNSfd9S08FWbu693Yf/vnh6Q+nl2xPt/Q8sCF6BCWbkxBCZnNmx3d2LN6+UCjVcc/GjgRR13FYu068fiJJkr4f9l2+fHn289k0M5376NzCN/Q/1j+eH7/Wj3fd35UkyeTk5GqMlY3h9Nun+x/rX7r188vZbdmkyYuNG7GwcqN1e2vNd3524mwI4eChg1c/45KNG8Tk5GQIIbstW++BrIjO+zqTzUm5XL5i472dmUzmQulCvUa1yjrv7TxXPLdkY9p8Y9/efas/nobKrko4NopTvz61sB5i6BdDra2tYVE938l/PZlsTjp2LX82Ofzi8Ng7Y6fHTl/dMAFuWNoBZv+P9pdm5sudSzOl7r/vLl8snzx10ouNG/Hnq6pJqH0JUPuO9iPPHhl+bnjhXj+Vi5Xe/6e3Y1fHwJMDNX+6xpfWrpQvlhemJNeTYy8dy27N9v6gd+HQefzl4/kz+ZOnTm6cblRHnz/6D/v+4YvlT3Nh9M3RAz860LGr4/grS+s6NpqvXV6U6FnH8mfyh/7l0LZbtlUuVdp3tB/8ycGBpwbG/sdYOtvXsauj9/vLr6U9/vLxw88cPv2b025byko4+cbJV154pVQpJSGpzFY67+nsf7x/Da3HoqFMTU21tbWFEFpuabnwyYWVeIqxt8aGXxiuhmpmc6Z4vtizt6fv0b6N09QshDD03NDw88PVuerspdmF+1k0Z5qrc9Xxd8bXU/v2ysXKkWePnPmPM1tv2Vq5WMlszgz8bGCjnduXZkqHnzo88Z8T1VCtlqst32z5p+//U/cD3avfBaF6qbrp6/NrBxshuwrQXM/xF4+feuPUyOhIuuR29M3RrvuXVqwCNIjCx4U7b78zhJDdlj1XPFfv4QA1U6lUmpubQ9pX8dp3Bl01Sji4puEXh/Pv5U+/PX+7zupcdfjF4XoPCuCaFtoC1LwLB1BfC2/qTZvr38Mu6MLBtRx/8fjAkwPd93fvf3h/aAqzc7OVmcrWLVvrPS6Aa0pbu4QQqpca5XZlQE0svKm3/kVDRBEBmmXkz+Qf+adHQgjHf33FKoHBZwbrNCKAL5ckSXqz39SGKk2G9a36p/kAvSkxA02j6tjVoTgeWItatrQUPy2GEMqV8sbplgDr3kIJx9atDTEDrQYagPUjvftDaLCblgE3aaFbYvOW5vqOJCVAA7B+tHxzfta5EdbpA7VSujh/x4AGWY4lQAOwfixc3jUDDetJ5bM/z0D/hRloAKip7Lb5u/AszFcB68DCPWsX3uP1JUADsH60tMyXcFQ+NQMN60e5YhEhAKyMhdmp4ifF+o4EqKHz58+nD7K3m4EGgJpaOLguXPAF1oFisRhCSDYnLVsaoj2lAA3A+tG6rTW9w0Hh40K9xwLURrVaTU+JW29vrfdY5gnQAKwjTaH1ttYQQqloBhrWieJH8xVZrd8SoAG+guEXh9va2m7N3tr89ea2v247/vLx6ly13oOiobW2toYQKpcqC3deqKH8O/ndHbu7u7q7/7777va7h54bCnM1f5L6q1QqBx4/cPd37+7Z17O7Y3f333cXPjCjv7zSxdLd7XeffO1kvQJlt7IAABSPSURBVAdSH8XzxZ59Pbfefmtzc/Ot37z1kYcfKXxY+5dKenvREMKdt91Z853fGAEaaFw9+3oKU4XTb58+Vzw3/dF09pbsIz94ZM/f7qlc0mCBa2r7dlv6YPKDydrueei5oT1de44MHRkZHRl5feS//+a/j74xurtz9zo7qSvNlNruaitdLJ3Nnz156uR4frzzvs629raxt8bqPbSGMRdKF0tT708dfurwX27/y4n3JqrVdfUa+Iqm3p/ac++e3od6z310rlwuP/3Lp0feHGnLtY2+OVrjJ/rDVPogd1eutnu+YQI00KCGXxwOIRx96Wi6ZKRla8vJUydzuVz+TH7g8YF6j47GlcvNH2IL/1XLmbCpqakDjx8YfGpwYf8tW1pOvHoifyY/9MxQDZ+o7vb/0/5qpXr8peNpNXkIoffB3q77ux75x0fcniZVKBT2/O2eAwcPhIZpCrH6qtVq977ukddHOu7pSLf07O05+quj1Wq1Z19P8eNatsEpFub3tvDuqzsBGmhQQ78cGnxmcPGWJEn6Hu0LIQy/PLxwRQ+WWJijmvpgqoa7Hfz5YAiha2/X4o3Z27K57bkjLxxZNxOQhQ8Lo2+Odt7fmSTJ4u09e3tKF0vHXz5er4E1lNbtrZOTk+Nvjx/86cH0ztJJSL70p9aZk6+d7NjZ0br9iqLkngd6stuy1Wr18DOHa/hcE3+YCCG0bG1p2doQLTiCAA00ptKnpeLHxTu33zn6xhWXAjvv6Uwf5N/J12NcrAEtW1vSbtCFP9RsBrparY79dixJkuwtS6cb277VVrlYWTcvyJOnTobleh2kleUbttL3OtICnmpYJ2dQX9177753/NfHd393aQlTOiGdP1Ozd0R1rprOQO/auatW+7x5AjTQiGbKMyGE6qXqkrLLllvmpx9mPpmpw7BYI3bs2BFCmJiqWWXq5PuT1Wp12dmvZEsSQsi/u04C9Hv/+V5Y7mZvzVubQwiFDwpWICyRNG24uedU+VI5hJB/N7+k53r64imer9lFwsJUIc3obTvbarXPm9f05d8CXGn4heH8O/nQFGZmZp7+b0937OwY+sXQxLsT6fvp6K+ONs41prUrtz3X+/3e4ofFvh/2Ld6+0Fch05ypx7hYGzru6Tj12qkwFyanJtt3tN/8DtM0sOyrriXTEkIonV8nXfPSfmGbNm9asj2zORNCqM5VS5+WMnd49y2yHtuwfBX9j/bPfDqz4zs7llyWSQvla3i7k/x/zJ+ddv4fnbXa580zAw1xDjx+oDpXPTl6cmR0pOv+ru7vdR/++eEQwshvRtq+3Tb65ujw88P1HuM6ceylY+O/G1+y5vr0mdPpg4VlK3C1jl3zL4/3/uO9muxw5uI1r3jMzs2GEM7PnK/JE9VduVK+/jeUSuvkVKFmmkLYkDXQ7Tvbz06cPfLskSXb03KmHbt21OqJJt6dL4BO64gahAANEfLv5KvVav9j/ek1u9y3c5VK5fhLx/sem1/ZFkLIZuu2Inv4ueGvxVtb7V1fefGVEELvg72tdzTQJymNJrstm75CalWIWS5fM1ZuatoUwvqZhvzyPhsbrtb3S2zYGuhl5c/kCx8WkiQZfGrwy7/7K+7z3XwIofPezoYqm2iksUDDG3pu6Ngrxxb+WDhfCCF07e1K8/Tp0dPFmWLXfX9epD8Xhl4YGntnLLs1W/i4sG3rtsFnBrO3rWC87n20t2tvV1RL2mRzUsMLbSvt5Gsn82fyubtyR55fOucBS3Te11n4sDDx7kS1Wl3SUOIGzKfk5aQz0On/N4LKnBroK2zYGuirVavV/f+8P4Rw7JVjtZrjmPpgKq3c67yvgeo3ggBN46tWq6WZUhKShfP76zwOTaFla8vKva57H+pdXN9cmCqERX0hcnflcuGLeoPDvzhcKpXGfzOejmd3x+67d979v6b+18pVSCdNycIauwZRmimFavgq/3bVUG3e0pzWWS6reL64/5/25+7KnR47nckoweRLdN3XNfSLocqlysR7EwsVHTcs+fo1Q1KarZs3N9/kUzSIZHNSvXS9k/CtmaXrC9eo9OASvuxzaf5xkjRvaV4+K6/liw8Lfwnhq/w9NIXs1ux1jrADTw4UPigce+lYzwM9tRph/n/mQwiZzZmGK9u7DI0t9sh35JdHVm1s2duySVNS/lN52a+23NLSvqN94Y/HXjoWQjjy7OoNr+7Gfzce9W+XyWSutatyudx6R2vHPR3l8vJ/23C19GS179G+m9/VsVePhRBy23NXf+ngTw6GELru77r5Z2kEaQfAkdGRpV/4/HL6Pp2cnKzHuGovNpBd6+DSdX9XCOHEKydWefw1UcMj7LGXjiVJMvL6Va+cm5MuAu7a23DvLzPQNLrxfFwIWzWlmVLx42Lurty1Jk2z2ezVq22qsxuoTq5jZ8fly5dvfj/VanXP9/a072g/+qujN38tno3j4QcfPvyLw/m3alAGncbKSnmZ6oW0rduKVmetpmw2WzxfvHopYaky/2l2dYvoNWr87docXNZ0DXStjrBjvx079OSh8fx4TZreLCjNlCbfnwwh9D7YW8Pd1oRFhHCD0sVJHd+54vR98fqbs787e+6jcwt/fO/990K6DGLFDD03dAOLCGt7t7bamwvdXd07/mZHOr2RbpuamlrSHxqu1v1gdwih8HFh4r2Jm9xV+13toSmUZkpXrzFIO9wtaRezdu34zo6wXJ/1dEvr9tZks5PYK6iBzp/J7398//i7V6TntD/VTRr77Vh1rtqypaXh6jcEaLhhZ86cCSG07/zi86L4afHAjw4s+82FDwon//Vk/6P9K3qU7X+0/9wn5y4UL5wrnkv/+9LHF0oXctsb+sD/yMOPtO9sP/LskcWFdxP/MXH9Mk0IIeS259Ij+qnXTt3krpIk6bqvqzpXvbrfc6FQSDYn3fd13+RTNIju+7tDCNMfTi/ZPvlfkyGEnr+rWW3r+rGWa6Bv3tTU1IH+A2fPnF2yarAmV35e+fUrIYR9D+1rxGuP9asegTXmxOsnkiTp+2Hf5cuXZz+fTcsrz310buEb+h/rH8+PL/mpg4cOdu3tSjYn/T/uX9Xhrgt9j/UN/mywvMi54rnpwnT7zvbpP07Xe3SsASdOnQghtGxpmZ2dvcldnZ04G0I4eOjg4o2Tv5+8euNa13lvZyaTWbLeoPO+zkwmc+GzC/UaVcNa0zXQN+ncR+fad7RPF6a/+Iz+rHyueO7EqRM3vypg+o/zZ3Hniue+/LtXnQANX1VafZEG6MFnBtO1F5O/n19Pc+LVE8sfRD+/XC6XJycn23e2t98l9kW4uj//gqQpmf38ZvMQG8Hs7Gx6m7QTp2qQb448eySzOTP+u/nz5PJn5Vwu17Gr4+bTeUO5ULqQvS27b+++hd/r2CvHkqbk9Njp+g6sAc3OzqbXFQ/+ZF2dRH0VF0oX0rUByxr82eBN7r//x/2hgZfnfu1yLZb4wEaQP5M/9C+Htt2yrXKp0r6j/eBPDg48NTD2P8ay27JJU9Kxq6P3+9db5VD6tPSNb34juy07/dG0mrkvVfi4cOftd17rq9nbsovry+E6hp4bOvD4gfad7Wd/d/bm9zb21tjwC8PVUM1szhTPF3v29vQ92teI15dvTqVSGXxm8L3/fG/rlq2VSiXZnAz+bDCXa+hyr1X2jW9+I2lKypfKYS5U56pJU7Ip2ZQkScc9HWnPpXWvZ1/PdYqjTpw6cTPN7KrVass3WyoXK2d/d3ZxqWTjEKBhRYy+Mdqzr+fI80f6fti3sLH5682VS5ULpQsr1woaWOKLI/HE2dq2CABWyPALw/t/tL9jV0fDduKyiBBWRPF8sTpXrVa/WOhWmilVLlWyt2Sbt6yTGy7AmpAkyeBPB0MIQ78YqvdYgC9XnasO/XIohPD0z56u91iuSYCGFbHvgX3td7V3/J9fdN45/NThpCk5+tJR9Ruwynq/35u9LTv65mjhg0K9xwJ8iZHXRorni133dTVm8UZKCQeslOL54uFnDpc+LWUymcLHhZYtLQcPHXQFGepi9M3R7q7uzns7T4+drvdYgGuqzlXvvP3O0kxp8oPJ1tsa9649AjQAG8Kezj1jb4017JokIIQw9IuhA08cOHjo4OBTg/Uey/UI0ABsCMXzxTu339l6e+vE7ydUUkEDKl0s3Xn7nS3fbJmenF5886wGpAYagA0huy179JdHp6amjr94vN5jAZZx6MlDlUuVkf9vpMHTczADDcDGUZ2r9vx9z9g7Y9OF6fQGK0CDyL+T3/23uwefGTz4k4P1HsuXE6AB2EAqlUrbXW3Zb2Ybtr8sbEDVS9VbW2/Nbc+d/s3pxp9+Dko4ANhQMpnMyKmRyanJk6+drPdYgHkDzwwkSXLs1WNrIj0HM9AAABDFDDQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACII0AAAEEGABgCACAI0AABEEKABACCCAA0AABEEaAAAiCBAAwBABAEaAAAiCNAAABBBgAYAgAgCNAAARBCgAQAgggANAAARBGgAAIggQAMAQAQBGgAAIgjQAAAQQYAGAIAIAjQAAEQQoAEAIIIADQAAEQRoAACIIEADAEAEARoAACL8/4TbUBMhhamlAAAAAElFTkSuQmCC)
references : http://www.storyofmathematics.com/19th_gauss.html
http://www.math.dartmouth.edu/archive/m23s06/public_html/handouts/row_reduction_examples.pdf