First slide

Applications of determinant

Question

Let $A$ be a square matrix of order $3$ such that $| A d j A | = 100$ , then $| A |$ equals

Moderate

A

$\pm 10$
B

$- 100$
C

$100$
D

$25$

Solution

${ladj A | = | A|}^{2} = 100 = | A |^{2} \Rightarrow | A | = \pm 10$

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