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Matrices and Determinants question

2020 · Shift 1 · Q26

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JEE Advanced
Mathematics
Matrices and Determinants
2020 · Shift 1 · Q26

Matrices and Determinants question

2020 · Shift 1 · Q26

JEE AdvancedMathematicsMatrices and DeterminantsMultiple correct+4 / −2

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?

A
M = I
B
det M = 1
C
M2 = I
D
(adj M)2 = I

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