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Matrices and Determinants question

2003 · Shift 0 · Q80

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PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2003 · Shift 0 · Q80

Matrices and Determinants question

2003 · Shift 0 · Q80

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

1,\omega ,{\omega ^2}

are the cube roots of unity, then

\Delta = \left| {\begin{matrix} 1 & {{\omega ^n}} & {{\omega ^{2n}}} \\ {{\omega ^n}} & {{\omega ^{2n}}} & 1 \\ {{\omega ^{2n}}} & 1 & {{\omega ^n}} \\ \end{matrix} } \right|

is equal to

A
${\omega ^2}$
B
$0$
C
$1$
D
$\omega$

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