GATE | GATE-CS-2015 (Set 2) | Question 65
Perform the following operations on the matrix
⎡ 3 4 45⎤
⎢ 7 8 105⎥
⎣13 2 195⎦
- Add the third row to the second row.
- Subtract the third column from the first column.
The determinant of the resultant matrix is _____________.
(A)
50
(B)
1
(C)
0
(D)
100
Answer: (C)
Explanation:
The given matrix is singular matrix as its last column is a multiple of first column. If we multiply 15 with first column, we get the third column.
Ranks is less than 3, determinant must be 0.
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Last Updated :
08 Jan, 2019
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