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Matrices Test -...

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  • Question 1
    1 / -0

    If A and B are matrices of same order, then (AB′ – BA′) is a

  • Question 2
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    If A is a square matrix such that \(A^2\) = I, then \((A–I)^3\) + \((A + I)^3\) –7A is equal to

  • Question 3
    1 / -0

    For any two matrices A and B, we have

  • Question 4
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    On using elementary column operations \(C_2 \rightarrow C_2 – 2C_1\) in the following matrix equation

    \(\begin{bmatrix} 1 &-3 \\[0.3em] 2 &4 \\[0.3em] \end{bmatrix}\) = \(\begin{bmatrix} 1 &-1 \\[0.3em] 0 &1 \\[0.3em] \end{bmatrix}\)\(\begin{bmatrix} 3 & 1 \\[0.3em] 2 &4 \\[0.3em] \end{bmatrix}\), we have :

  • Question 5
    1 / -0

    On using elementary row operation \(R_1 \rightarrow R_1 – 3R_2\) in the following matrix equation:

    \(\begin{bmatrix} 4 & 2 \\[0.3em] 3 & 3\\[0.3em] \end{bmatrix}\) = \(\begin{bmatrix} 1 & 2 \\[0.3em] 0 & 3\\[0.3em] \end{bmatrix}\) \(\begin{bmatrix} 2 & 0 \\[0.3em] 1 & 1 \\[0.3em] \end{bmatrix}\), we have :

  • Question 6
    1 / -0

    If A = \(\begin{bmatrix} 1 &0 & 0 \\[0.3em] 0 & 1 & 0 \\[0.3em] a &b &-1 \end{bmatrix}\), then \(A^2\) = 

  • Question 7
    1 / -0

    If A = \(\begin{bmatrix} 2& 2 \\[0.3em] a & b \\[0.3em] \end{bmatrix}\) and \(A^2 = O\), then (a, b) = 

  • Question 8
    1 / -0

    If A = \(\begin{bmatrix} i & 0 \\[0.3em] 0 &i\\[0.3em] \end{bmatrix}\), then \(A^2\) = 

  • Question 9
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    If A = \(\begin{bmatrix} x & 1 \\[0.3em] 1 & 0 \\[0.3em] \end{bmatrix}\) and \(A^2\) is the identity matrix, then x =

  • Question 10
    1 / -0

    Which one of the following is not true

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