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Linear Algebra With Applications
Found in: Page 263
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

Question: TRUE OR FALSE? If matrices A and B are commute, then A must commute BT with as well.

The given statement is false.

See the step by step solution

Step by Step Solution

Step 1: Definition of a commute.

Suppose A and B are two matrices.

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

Step 2: 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 with BT 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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