Determine whether each of the following statements is true or false, and explain why.If A and B are square matrices of the same size, then AB = BA

Tammy Todd

Tammy Todd

Answered question

2021-02-19

Determine whether each of the following statements is true or false, and explain why.If A and B are square matrices of the same size, then AB=BA

Answer & Explanation

Malena

Malena

Skilled2021-02-20Added 83 answers

Given,
If A and B are identical-size square matrices, then AB=BA.
Step 2
The assertion made is untrue.
For example,
Let A=[1023] and B=[2413]
Then,
AB=[1023][2413]
=[24717]
and
BA=[2413][1023]
=[101279]
Clearly ABBA

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-29Added 2605 answers

Answer is given below (on video)

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