GATE | GATE-CS-2000 | Question 49

The determinant of the matrix is
(A) 5
(B) 0
(C) 4
(D) 20

Answer: (C)

Explanation: It is a 4*4 matrix, and in 1st row except 2 ,all other three columns are 0. So, no need to find determinant for those 3 columns. Next again go through 3*3 matrix. Again got some zero in columns. Like that only diagonal elements are gives determinant of the matrix.The value of determinant is 2*1*2*1 = 4.
So, option (C) is correct.

This explanation is contributed by Srestha.

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