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If A=[[1, 2], [-1, 3]], B=[[0, 1], [2, 4...

If `A=[[1, 2], [-1, 3]], B=[[0, 1], [2, 4]] and AX=B`, then X=

A

`(-1)/(5)[[-4, -5], [2, 5]]`

B

`(1)/(5)[[-4, -5], [2, 5]]`

C

`-[[-4, -1], [2, 1]]`

D

`[[-4, -1], [2, 1]]`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If A=[[1, 2, 3], [-1, 1, 2], [1, 2, 4]], B=[[1], [2], [3]] and AX=B , then X=

    A
    `(1)/(3)[[1], [7], [-6]]`
    B
    `(1)/(3)[[-1], [-7], [6]]`
    C
    `[[1], [7], [-2]]`
    D
    `[[-1], [-7], [2]]`

  • If A=[[1, -1, -2], [2, 1, 1], [4, -1, 2]], B=[[3], [5], [11]], X=[[x], [y], [z]] and AX=B then X=

    A
    `[[(8)/(3)], [(-1)/(3)], [0]]`
    B
    `[[(8)/(3)], [(1)/(3)], [0]]`
    C
    `[[(-8)/(3)], [(1)/(3)], [0]]`
    D
    `[[(-8)/(3)], [(-1)/(3)], [0]]`

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

    A
    [0 7]
    B
    `1/3[(5),(7)]`
    C
    `1/3[5" "7]`
    D
    `[(5),(7)]`

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