If A is a matrix of order 3, such that A (adj A) = 10 I, then |adj A| =

Question

If A is a matrix of order 3, such that A (adj A) = 10 I, then |adj A| = (A) 10 (B) 10 I (C) 1 (D) 100

Tardigrade Admin · Accepted Answer

Given, A(adj A)=10 I We know, A(adj A)=|A| I ∴ 10 I=|A| I ⇒ |A| =10 ∴ mid adj . A|=| A|3-1=(10)2=100

Q. If $A$ is a matrix of order $3$ , such that $A (a d j A) = 10 I$ , then $∣ a d j A ∣$ =