Using properties of determinants, prove that

OR
Without expanding the determinant at any stage, prove that

Given:

Apply R2 → R2 – 3R1 and R3 → R3 – 4R1

Apply R3 → R3 – 3R2

Now expand along R3 we will get 1.

Hence, proved
OR
Given:

Taking common –1 from each row

D = –D
⇒ D = 0
The matrix is skew symmetric matrix.
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