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Linear Algebra With Applications
Found in: Page 108
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

if A2=I2 then matrix A must be either I2 or -I2 .

The statement is false.

See the step by step solution

Step by Step Solution

Step 1: Explaining

Consider a matrix A satisfying the condition,


Consider a matrix,


Step 2: Result

Calculate A2

A2=100-1100-1 =1001 =I2

Thus the given statement is false.

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