Mark each of the following statement true or false: If A and B are matrices such that AB = O and A neq O, then B = O.

ediculeN

ediculeN

Answered question

2021-01-13

Mark each of the following statement true or false: If A and B are matrices such that AB = O and AO, then B = O.

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-01-14Added 100 answers

Step 1
Given statement,
If A and B are matrices such that AB = O and AO, then B = O.
Step 2
Take A and B to be two matrices
A=[1000]0 and B=[0010]
AB=[1000][0010]
AB=[0000] and A=[1000]0
But B is non Zero.
Therefore, the given statement is false.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-23Added 2605 answers

Answer is given below (on video)

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