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Matrices and Determinants question

2017 · Shift 1 · Q24

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JEE Advanced
Mathematics
Matrices and Determinants
2017 · Shift 1 · Q24

Matrices and Determinants question

2017 · Shift 1 · Q24

JEE AdvancedMathematicsMatrices and DeterminantsMultiple correct+4 / −1

Which of the following is(are) NOT the square of a 3

\times

3 matrix with real entries?

A
$\left[ {\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & { - 1} \\ \end{matrix} } \right]$
B
$\left[ {\begin{matrix} 1 & 0 & 0 \\ 0 & { - 1} & 0 \\ 0 & 0 & { - 1} \\ \end{matrix} } \right]$
C
$\left[ {\begin{matrix} { - 1} & 0 & 0 \\ 0 & { - 1} & 0 \\ 0 & 0 & { - 1} \\ \end{matrix} } \right]$
D
$\left[ {\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \\ \end{matrix} } \right]$

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