ਮੈਟ੍ਰਿਕਸ (ਗਣਿਤ)

ਹਿਸਾਬ ਵਿੱਚ ਨੰਬਰਾਂ ਦੇ ਸਮਕੋਨੀ ਵਰਤਾਰੇ ਨੂੰ ਮੈਟ੍ਰਿਕਸ (ਜਾਂ ਮੈਟਰਿਕਸ) ਕਹਿੰਦੇ ਹਨ। ਜਿਵੇਂ,

ਮੈਟ੍ਰਿਕਸ ਵਿੱਚ ਪਰਤੱਖ ਅੰਕਾਂ ਨੂੰ ਛੋਟਾ ਕਰ ਕੇ ਦਰਸਾਇਆ ਜਾਂਦਾ ਹੈ।

{\begin{bmatrix}1&9&13\\20&55&4\end{bmatrix}}.

ਮੈਟ੍ਰਿਕਸ ਨੂੰ ਅਲਜੈਬਰਾ ਵਿੱਚ ਖ਼ਾਸ ਅਤੇ ਮੁਸ਼ਕਲ ਬਦਲਾਵਾਂ ਨੂੰ ਸੌਖੇ ਤਰੀਕੇ ਨਾਲ ਦਰਸਾਉਣ ਲਈ ਵਰਤਿਆ ਜਾਂਦਾ ਹੈ।

ਜਮ੍ਹਾ

${\begin{bmatrix}1&3&1\\1&0&0\end{bmatrix}}+{\begin{bmatrix}0&0&5\\7&5&0\end{bmatrix}}={\begin{bmatrix}1+0&3+0&1+5\\1+7&0+5&0+0\end{bmatrix}}={\begin{bmatrix}1&3&6\\8&5&0\end{bmatrix}}$

ਗੁਣਾ

$2\cdot {\begin{bmatrix}1&8&-3\\4&-2&5\end{bmatrix}}={\begin{bmatrix}2\cdot 1&2\cdot 8&2\cdot -3\\2\cdot 4&2\cdot -2&2\cdot 5\end{bmatrix}}={\begin{bmatrix}2&16&-6\\8&-4&10\end{bmatrix}}$

ਪਿਛੋਕੜ

ਸਭ ਤੋਂ ਪਹਿਲਾਂ ਇਹਨਾਂ ਨੂੰ ਚੀਨੀ ਹਿਸਾਬਕਾਰ, ਹੂ ਸਾਂਗ ਸੁਆਂਗ ਸੂ ਨੇ ਵਰਤਿਆ। ਫ਼ਿਰ ਇਹਨਾਂ ਨੂੰ ਹੀਜ਼ਨਬਰਗ, ਪਾਸਕਲ ਆਦਿ ਵਰਗੇ ਵਿਗਿਆਨੀਆਂ ਨੇ ਭੀ ਅਪਣੀ ਸੋਧ ਵਿੱਚ ਵਰਤਿਆ।

ਹਵਾਲੇ

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ਬਾਹਰੀ ਲਿੰਕ

ਪਿਛੋਕੜ

ਪੁਸਤਕਾਂ

Kaw, Autar K., Introduction to Matrix Algebra, ISBN 978-0-615-25126-4
The Matrix Cookbook, retrieved 12/10/2008 {{citation}}: Check date values in: |accessdate= (help)
Brookes, M. (2005), The Matrix Reference Manual, London: Imperial College, retrieved 12/10/2008 {{citation}}: Check date values in: |accessdate= (help)

ਮੈਟ੍ਰਿਕਸ ਕੈਲਕੁਲੇਟਰ

SuperiorMath (Matrix Calculator), archived from the original on 2011-09-28, retrieved 2010-04-23
Matrix Calculator (DotNumerics)
Xiao, Gang, Matrix calculator, retrieved 12/10/2008 {{citation}}: Check date values in: |accessdate= (help)
Online matrix calculator, archived from the original on 2008-12-12, retrieved 12/10/2008 {{citation}}: Check date values in: |accessdate= (help)
Online matrix calculator(ZK framework), archived from the original on 2013-05-12, retrieved 11/26/2009 {{citation}}: Check date values in: |accessdate= (help)

Oehlert, Gary W.; Bingham, Christopher, MacAnova, University of Minnesota, School of Statistics, retrieved 12/10/2008 {{citation}}: Check date values in: |accessdate= (help), a freeware package for matrix algebra and statistics
Online matrix calculator, retrieved 12/14/2009 {{citation}}: Check date values in: |accessdate= (help)
Online calculator - Operation with matrices in R (determinant, track, inverse, adjoint, transpose) Archived 2011-07-18 at the Wayback Machine.