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If A is a square matrix, then A A is a (...

If `A` is a square matrix, then `A A` is a (a) skew-symmetric matrix (b) symmetric matrix (c) diagonal matrix (d) none of these

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Given:` A` is a square matrix
Let `A=[(1,2),(1,0)]`
Then
`A``A=[(1,2),(1,0)][(1,2),(1,0)]`
`A``A=[(3,2),(1,2)]`
Hence correct option is (d)
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Knowledge Check

  • If A is a square matrix, then A is skew symmetric if

    A
    `A^(2)=A`
    B
    `A^(2)=l`
    C
    `A^(T)=A`
    D
    `A^(T)=-A`

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