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If AX = B, where A = [123-112124] and B = [123], then X is equal to ______ -

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Question

If AX = B, where A = `[(1, 2, 3), (-1, 1, 2), (1, 2, 4)]` and B = `[(1), (2), (3)]`, then X is equal to ______

Options

  • `[(1/3), (-7/3), (2)]`

  • `[(-1/3), (-7/3), (2)]`

  • `[(-1/3), (7/3), (2)]`

  • `[(-1/3), (7/3), (-2)]`

MCQ
Fill in the Blanks

Solution

If AX = B, where A = `[(1, 2, 3), (-1, 1, 2), (1, 2, 4)]` and B = `[(1), (2), (3)]`, then X is equal to `underline([(-1/3), (-7/3), (2)])`.

Explanation:

Consider option `([(-1/3), (-7/3), (2)])`,

AX = `[(1, 2, 3), (-1, 1, 2), (1, 2, 4)]`

`[(-1/3), (-7/3), (2)] = [(1), (2), (3)]`

∴ Option `[(-1/3), (-7/3), (2)]` is the correct answer.

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