Question #248987

Prove that the commutative property holds on the matrix multiplication.


1
Expert's answer
2021-10-12T10:19:01-0400

Taking into account that


(1101)(1101)=(1001),\begin{pmatrix} 1 & -1\\ 0 & 1 \end{pmatrix} \begin{pmatrix} -1 & 1\\ 0 & 1 \end{pmatrix} = \begin{pmatrix} -1 & 0\\ 0 & 1 \end{pmatrix}, but


(1101)(1101)=(1201),\begin{pmatrix} -1 & 1\\ 0 & 1 \end{pmatrix} \begin{pmatrix} 1 & -1\\ 0 & 1 \end{pmatrix} = \begin{pmatrix} -1 & 2\\ 0 & 1 \end{pmatrix},


we conclude that the commutative property does not hold on the matrix multiplication.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS