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If matrix A = {:[(1,-1),(-1,1)] and A^2 ...

If matrix `A = {:[(1,-1),(-1,1)] and A^2 = kA`, then write the value of 'k'.

Text Solution

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The correct Answer is:
k = 2
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Knowledge Check

  • The matrix A = [(0,-1),(1,0)] is

    A
    a unit matrix
    B
    a diagonal matrix
    C
    a symmetric matrix
    D
    a skew symmetric matrix

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    B
    a diagonal matrix
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    D
    none of these

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    A
    identity matrix
    B
    Diagonal matrix
    C
    Symmetric matrix
    D
    Skew symmetric matrix

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