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If a=[a(ij)] is a square matrix of order...

If `a=[a_(ij)]` is a square matrix of order 2 such that `a_(ij)={(1, when &emsp,i ne j), (0, when &emsp, i = j):}`, then `A^2` is

A

`[[1, 0], [1, 0]]_(2 times 2)`

B

`[[1, 1], [0, 0]]_(2 times 2)`

C

`[[1, 1], [1, 0]]_(2 times 2)`

D

`[[1, 0], [0, 1]]_(2 times 2)`

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Knowledge Check

  • If A = [a_(ij)] is a square matrix of order 2 such that a_(ij)={{:(1,"when " i ne j),(0,"when "i = j):} that A^2 is :

    A
    `[(1,0),(1,0)]`
    B
    `[(1,1),(0,0)]`
    C
    `[(1,1),(1,0)]`
    D
    `[(1,0),(0,1)]`

  • Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

    A
    Statement -1 is True, Statement -2 is true, Statement -2 is a correct explanation for Statement-1.
    B
    Statement-1 is True, Statement -2 is True, Statement -2 is not a correct explanation for Statement -1.
    C
    Statement -1 is True, Statement -2 is False.
    D
    Statement -1 is False, Statement -2 is True.

  • If A is a square matrix for which a_(ij)=i^(2)-j^(2) , then matrix A is

    A
    unit
    B
    zero
    C
    symmetric
    D
    skew-symmetric

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