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Consida square matrix A of order 2 which...

Consida square matrix A of order 2 which has its elements as 0, 1, 2 and 4. Let N denotes the number of such matrices.

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The correct Answer is:
`A to P, Q,T;B to S; C to P,R; D to R`
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Knowledge Check

  • If A=[a_(ij)] is a square matrix of order 3 and A_(ij) denote cofactor of the element a_(ij) in |A| then the value of |A| is given by

    A
    `a_(11)A_(11)+a_(12)A_(12)+a_(13)A_(13)`
    B
    `a_(11)A_(11)+a_(12)A_(21)+a_(13)A_(31)`
    C
    `a_(11)A_(21)+a_(12)A_(22)+a_(13)A_(23)`
    D
    `a_(11)A_(13)+a_(21)A_(23)+a_(31)A_(33)`

  • If a matrix has 4 elements, then which of the following connot be the order of the matrix ?

    A
    `2 xx 2 `
    B
    `1 xx 4`
    C
    `2 xx 3`
    D
    `4 xx 1`

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    Let A and B are two square matrices of order 3 such that det. (A)=3 and det. (B)=2 , then the value of det. (("adj. "(B^(-1) A^(-1)))^(-1)) is equal to _______ .

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