Question

Which of the following relation(s) is true regarding the adjoint of a matrix?

• A.
• B. (Adj A)^T = Adj (A)^T
• C. Adj (kA) = k^n-1. AdjA
• D. A. (Adj A) – (Adj A). A

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

B

(Adj A)^T = Adj (A)^T

C

Adj (kA) = k^n-1. AdjA

D

A. (Adj A) – (Adj A). A

These four are the most important properties that we can associate with an adjoint of matrix. Proofs are at this stage not required though it will be required when you go to higher level. But now keep these results in memory so that you can solve some objective questions very fast