If A is a non- singular matrix, then A ( adj A ) =, A, 1, ∣ A ∣ I, ∣ A ∣ 2

A ( adj A ) = A ⋅ A − 1 ∣ A ∣ = ∣ A ∣ I .

If A is a non- singular matrix, then A ( adj A ) =

Question: Answered & Verified by Expert

If $A$ is a non- singular matrix, then $A(\operatorname{adj} A)=$

MathematicsMatricesJEE Main

Options:

Solution:

1171 Upvotes Verified Answer

The correct answer is: $|A| I$

$A(\operatorname{adj} A)=A \cdot A^{-1}|A|=|A| I$.

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.