First slide

Introduction to Determinants

Question

If A is a square matrix of order 3 such that $A^{2} = 2 A,$ then $| A |^{2}$ is equal to

Moderate

A

$2 | A |$
B

$8 | A |$
C

$16 | A |$
D

0

Solution

$|A^{2}| = | 2 A | = 2^{3} | A | \Rightarrow | A |^{2} = 8 | A |$

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