Let M be a 3 × 3 invertible | Maths | JEE ADVANCED 2020

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JEE Advanced 2020

Paper-1 2020

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Question

Let M be a 3 × 3 invertible matrix with real entries and let I denote the $3 \times 3$ identity matrix. If $\mathrm{M}^{-1}=\operatorname{adj}(\operatorname{adj} \mathrm{M})$, then which of the following statement is/are ALWAYS TRUE?

Select ALL correct options:

A

M = I

B

det M = 1

C

$M^2=I$

D

$(\operatorname{adj} M)^2=I$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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