Let be a non-zero matrix, where . For a square matrix …

JEE Main - Previous Year Papers JEE MAIN 2024 JEE MAINS 30 JAN- 2024 PAPER SHIFT -2 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 23, 2026

Let be a non-zero matrix,

where

. For a square matrix , let trace

(M) denote the sum of all the diagonal entries of

M. Then, among the statements:

(I)

(II) If trace , then has exactly one non-zero entry.

Both (I) and (II) are true

Neither (I) nor (II) is true

Only (II) is true

Only (I) is true

Text Solution

Verified by Experts

The correct answer is:

Also,

(i)

If and

Statement (i) is False

(ii)

Trace (Adj(Adj(R)))

Statement (ii) is also False

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