Let A= bmatrix 1&-1&1 2&1&-3 1&1&1 bmatrix and B= bmatrix 4 0 2 bmatrix such that AX = B, then X =

MHT CET 2024 Mathematics question

Let and such that AX = B, then X =

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Writing with : , , . Adding the first and third equations: , so and then . Substituting in the second: , i.e. ; with this gives , so and . Thus (check:

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Question ID VK-096885