Question

If A = `[(a, 0, 0),(0, a, 0),(0, 0, a)]`, then det (adj A) equals

विकल्प

• a²⁷

• a⁹

• a⁶

• a²

Answer 1

a⁶

Explanation:

A = `[(a, 0, 0),(0, a, 0),(0, 0, a)]`

Det (A) = a(a × a – 0 × 0) – 0 + 0

= a³

Det (adj A) = (a³)²

= a⁶