To illustrate the multiplication of matrices, and also the fact that matrix multiplication is not necessarily commutative, consider the matrices A=begin{bmatrix}1 & -2&1 0 & 2&-12&1&1 end{bmatrix} B=begin{bmatrix}2 & 1&-1 1 & -1&02&-1&1 end{bmatrix}

amanf 2020-11-30 Answered
To illustrate the multiplication of matrices, and also the fact that matrix multiplication is not necessarily commutative, consider the matrices
A=[121021211]
B=[211110211]
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brawnyN
Answered 2020-12-01 Author has 91 answers
Step 1
A=[121021211]
B=[211110211]
AB=[121021211][211110211]
=[22+21+211+1222+114+1+22112+1]
=[220011701]
Step 2
Acc. to commutative property:
AB=BA
BA=[211110211][121021211]
=[030042454] since here BAAB
So , matrix is not necessarily commutative
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Jeffrey Jordon
Answered 2022-01-24 Author has 2087 answers

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