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If matrix A = [aij]3 xx 2 and aij = ( 3i...

If matrix `A = [a_ij]_3 xx 2` and `a_ij = ( 3i - 2j )^2`, then find matrix A.

Text Solution

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The correct Answer is:
`[(1,1),(16,4),(49,25)]`
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Consider a 2xx2 matrix A = [a_(ij)] , where a_(ij) = ((i+2j)^2)/2 . Find A + A'.

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Knowledge Check

  • A matrix 2 xx 3 whose elements are a_(ij) = (i + j)^(2) is

    A
    `[(4,9,16),(9,16,25)]`
    B
    `[(4,16,9),(9,16,25)]`
    C
    `[(4,9,16),(16,9,25)]`
    D
    None of these
  • If matrix A=[a_(ij)]_(2xx2) , where a_(ij){:(=1,, "if",, i ne j),(= 0 ,,"if",,i=j):} then A^(2) is equal to

    A
    I
    B
    O
    C
    `2` I
    D
    `(1)/(2)` I
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