If x, y & z are non zero real numbers, the inverse of matrix A = bmatrix x & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z bmatrix is : Option 1: bmatrix x^-1 & 0 & 0 \\ 0 & y^-1 & 0 \\ 0 & 0 & z^-1 bmatrix Option 2: xyz bmatrix x^-1 & 0 & 0 \\ 0 & y^-1 & 0 \\ 0 & 0 & z^-1 bmatrix Option 3: 1/xyz bmatrix x^-1 & 0 & 0 \\ 0 & y^-1 & 0 \\ 0 & 0 & z^-1 bmatrix Option 4: 1/xyz bmatrix 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 bmatrix

The answer is 'bmatrix x^-1 & 0 & 0 \\ 0 & y^-1 & 0 \\ 0 & 0 & z^-1 bmatrix'. View full solution:

CUET Mathematics - If x, y & z are non zero real numbers, the inverse of matrix A = bmatrix x & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z bmatrix is : | PYQs + Solutions

CUET Mathematics 2023 23 May Shift 3

Algebra

Easy

$\begin{bmatrix} x^{-1} & 0 & 0 \\ 0 & y^{-1} & 0 \\ 0 & 0 & z^{-1} \end{bmatrix}$

$xyz \begin{bmatrix} x^{-1} & 0 & 0 \\ 0 & y^{-1} & 0 \\ 0 & 0 & z^{-1} \end{bmatrix}$

$\frac{1}{xyz} \begin{bmatrix} x^{-1} & 0 & 0 \\ 0 & y^{-1} & 0 \\ 0 & 0 & z^{-1} \end{bmatrix}$

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

✅ Correct Option: 1

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3 June Shift 2

The system of equations

$x + y + z = 4$

$x + 2y + 3z = 12$

$x + 3y + \lambda z = \mu$ has a unique solution if

27 May Shift 1

Match List-I with List-II

List-I	List-II
(A) The number of possible matrices of order 3x3 with each entry 1 or 0	(I) $2^4$
(B) The number of possible matrices of order 2x3 with each entry 1 or 0	(II) $2^9$
(C) The number of possible matrices of order 2x3 with each entry 0,1,2	(III) $2^6$
(D) The number of possible matrices of order 2x2 with each entry 1 or 0	(IV) $3^6$

Choose the correct answer from the options given below:

3 June Shift 2

If $A = \begin{bmatrix} 3 & 2a \\ 1 & 5 \end{bmatrix}$ and $B = \begin{bmatrix} 2 & 3 \\ b & 5 \end{bmatrix}$ both are singular matrices, then $a + b$ is equal to

CUET Mathematics 2023 23 May Shift 3 PYQs

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