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Chapter 5: Q15E (page 263)

Question:TRUE OR FALSE?If matrices A and Bare commute, then A must commuteBT withas well.

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Definition of a commute.

Suppose A and Bare two matrices.

Then the matrices A and Bre said to be commute if AB = BA

02

Check whether the given statement is a true or false.

The given statement is if matrices A and B are commute, the A must commute withBT as well.

It is know that the matrix multiplication is not commutative.

So,ABT=BTA is not true always.

Then the given statement is false.

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Most popular questions from this chapter

In Exercises 40 through 46, consider vectors in ; we are told that is the entry of matrix A.

A=[35115920112049]

46. Find , where V =span . Express your answer as a linear combination of and .

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10.[1111],[6464]

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5.u鈫�=[123V鈫�=234] .

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M=QRShow that R=QTM.

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