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GATE | GATE CS Mock 2018 | Set 2 | Question 14
  • Last Updated : 07 Apr, 2021
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Find the determinant of the following matrix:

wiris20120416-7886-8lr50s
(A) -708
(B) -452
(C) -844
(D) -588


Answer: (C)

Explanation:

Finding determinants of above matrix by expanding the first row of the matrix 

Determinant = 6 [ 2 * ( 0*2) – 3( -3 *2 – 0* 5) + 6 ( -3 * 7 – 0* 5 ) ]

                     = 6[  0 – 3 ( -6 ) + 6 * -21 ]



                     = 6 * 18 * ( – 126)

                     = – 844

Hence option (C ) is correct.     


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