A= bmatrix 1&-1&1 2&-1&0 3&3&-4 bmatrix , adj A= bmatrix 4&-1&1 8&-7&a 9&-6&b bmatrix , then

MHT CET 2022 Mathematics question

, , then

(A)a = 2, b = -1
(B)a = 2, b = 1Correct
(C)a = -2, b = 1
(D)a = 1, b = -2

Answer: (B)

Solution

The adjoint is the transpose of the cofactor matrix, so the entry in row 2, column 3 of is the cofactor of , and the entry in row 3, column 3 is . , so .

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Question ID VK-093571