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Matrices and Determinants question

2004 · Shift 0 · Q80

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JEE Main
Mathematics
Matrices and Determinants
2004 · Shift 0 · Q80

Matrices and Determinants question

2004 · Shift 0 · Q80

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A = \left( {\begin{matrix} 0 & 0 & { - 1} \\ 0 & { - 1} & 0 \\ { - 1} & 0 & 0 \\ \end{matrix} } \right)

. The only correct statement about the matrix

A

is

A
${A^2} = 1$
B
$A=(-1)I,$ where $I$ is a unit matrix
C
${A^{ - 1}}$ does not exist
D
$A$ is a zero matrix

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