Let {M} be a 3\times 3 invertible matrix with real entries and let I denote the 3 \times 3 identity matrix. If {M}^{-1}= adj ( {\adj} {M}), then which of the following statements is/are ALWAYS TRUE? [JEE Adv 2020 P1]

JEE Advanced 2020 Paper 1

Section: Mathematics

Question : 44 of 54

Marks: +1, -0

Let M be a 3×3 invertible matrix with real entries and let I denote the 3×3 identity matrix. If M−1= adj (adj‌M), then which of the following statements is/are ALWAYS TRUE?

[JEE Adv 2020 P1]

M=I
det M=1
M2=I
(adj‌M)2=I

Validate

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