Class 12

3 and 4 .Determinants and Matrices question bank (Maths)

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Q1.

If $A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$,then $AB =$

(A)

$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

(B)

$\begin{bmatrix} 1 & 1 \\ 1 & 0 \end{bmatrix}$

(C)

$\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$

(D)

$\begin{bmatrix} 0 & 1 \\ 1 & 1 \end{bmatrix}$

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Q2.

For the matrix $A = \begin{bmatrix} 1 & 1 & 0 \\ 1 & 2 & 1 \\ 2 & 1 & 0 \end{bmatrix}$,which of the following is correct?

(A)

$A^3 + 3A^2 - I = O$

(B)

$A^3 - 3A^2 - I = O$

(C)

$A^3 + 2A^2 - I = O$

(D)

$A^3 - A^2 + I = O$

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