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For any 2xx2 matrix if A (adj A )= [(10,...

For any `2xx2` matrix if A (adj A )= `[(10,0),(0,10)]` then find |A|.

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Knowledge Check

  • The matrix is [(4,3,1),(0,2,3),(0,0,-2)] is:

    A
    singular matrix
    B
    upper traingular matrix
    C
    lower traingular matrix
    D
    scalar matrix

  • If A = [(2,0),(1,5)] and B = [(1,4),(2,0)] then |adj (AB)| =

    A
    `-40`
    B
    `-80`
    C
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    D
    `-20`

  • If A = ((cosx,sinx),(-sinx, cosx)) and A (adj A) = lambda ((1,0),(0,1)) then lambda is

    A
    sinx cos x
    B
    1
    C
    2
    D
    none

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    If adj (A) = [(0,-2,0),(6,2,-6),(-3,0,6)] find A^(-1) .

    Find adj (adj (A)) if adj A= [(1,0,1),(0,2,0),(-1,0,1)] .

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    Find the matrix A if [(1,2),(0,1)]A=[(6,1),(2,1)]

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