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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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`A to P, Q,T;B to S; C to P,R; D to R`
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Knowledge Check

  • Consider a square matrix A or order 2 which has its elements as 0, 1, 2, 4. If the absolute value of |A| is least then, then absolute value of |adj(adj(A))| is equal to

    A
    0
    B
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    C
    1
    D
    4

  • Let A be a square matrix of order 3 so that sum of elements of each row is 1 . Then the sum elements of matrix A^(2) is

    A
    `1`
    B
    `3`
    C
    `0`
    D
    `6`

  • Let A be a square matrix of order 3 whose all entries are 1 and let I_(3) be the indentiy matrix of order 3. then the matrix A - 3I_(3) is

    A
    invertible
    B
    orthogonal
    C
    non-invertible
    D
    real skew symmetric matrix

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    Let A be a square matrix of order n(>2) such that each element in a row / column of A is 0; then det A=0.

    Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A^(2) , is 1, then the possible number of such matrices is , (1) 4 (2) 1 (3) 6 (4) 12

    If A is a square matrix of order n such that its elements are polynomila in x and its r-rows become identical for x = k, then

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