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Orthogonal Matrix

If A is a 3 ×...

Question

If A is a $(3 \times 3)$ skew symmetric matrix, formed by using the digits 0, 1, -1, then the number of such matrices is

A

10

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B

27

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C

8

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D

15

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Solution

The correct option is B 27
The elements $a_{12}, a_{13}, a_{23}$ can be selected from 0, 1, -1 in $3^{3}$ ways.

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