If A=[{:(1,-2,-3),(2,1,-2),(3,2,1):}], t...

If `A=[{:(1,-2,-3),(2,1,-2),(3,2,1):}]`, then which one of the following is correct ?

A is symmetric matrix

A is anti-symmetric matrix

A is singular matrix

A is non-singular matrix

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The correct Answer is:

Here we see that its diagonal elements are not zero, so it is not anti-symmetric matrix.
Now, `|A| = 1(1 + 4) + 2(2 + 6) - 3(4-3)`
`= 5 + 16 - 3 = 18 ne 0`
Hence, it is non-singular matrix.

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