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Matrices and Determinants question

2022 · 29 Jul · Shift 1 · Q27

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JEE Main
Mathematics
Matrices and Determinants
2022 · 29 Jul · Shift 1 · Q27

Matrices and Determinants question

2022 · 29 Jul · Shift 1 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let A and B be two

3 \times 3

non-zero real matrices such that AB is a zero matrix. Then

A
the system of linear equations $A X=0$ has a unique solution
B
the system of linear equations $A X=0$ has infinitely many solutions
C
B is an invertible matrix
D
$\operatorname{adj}(\mathrm{A})$ is an invertible matrix

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