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If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[...

If `A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}]`, find a matrix C such that
`(A+B+C)` is a zero matrix.

Text Solution

Verified by Experts

The correct Answer is:
`[(-3,4,-1),(-3,0,-1)]`
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Knowledge Check

  • if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0

    A
    `[(1,-8),(-3,-10),(8,-11):}].`
    B
    `[(0,-8),(-3,-10),(8,-11):}].`
    C
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    D
    `[(5,-8),(-3,-10),(8,-11):}].`

  • If A={:[(1,-4),(3,2)]:}andB={:[(6,-1),(3,2)]:} , then find the matrix C such that C=AB+B^(2) .

    A
    `{:[(37,25),(16,9)]:}`
    B
    `{:[(27,-17),(48,2)]:}`
    C
    `{:[(4,5),(17,16)]:}`
    D
    `{:[(3,-15),(6,18)]:}`

  • If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the matrix 'X' such that 3A + X = 5B.

    A
    `[(2,-10),(-19,13),(20,-1)]`
    B
    `[(-10,1),(13,-19),(-1,20)]`
    C
    `[(-10,12),(3,-19),(-1,20)]`
    D
    None of these

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    if A[{:(2,-3),(4,-1):}]and B=[{:(3,0),(-1,2):}], then find A matrix C such that 2A-B+3c is a unit matrix.

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