Applied Mathematics

Algebra

Easy

applied

If $\begin{bmatrix} 2x + 3 & y + 1 \\ 2x - z & 3y \end{bmatrix} = \begin{bmatrix} 7 & -2 \\ -4 & -9 \end{bmatrix}$ , then matrix $\begin{bmatrix} 3z + 1 & 4 \\ -2 & 4 \end{bmatrix}$ is equal to:

$\begin{bmatrix} 5 & 4 \\ -2 & 4 \end{bmatrix}$

$\begin{bmatrix} 25 & 4 \\ -2 & 4 \end{bmatrix}$

$\begin{bmatrix} 21 & 4 \\ -2 & 4 \end{bmatrix}$

$\begin{bmatrix} 31 & 4 \\ -2 & 4 \end{bmatrix}$

✅ Correct Option: 2

From matrix equality: $2x + 3 = 7$ , so $x = 2$ . $3y = -9$ , so $y = -3$ . $2x - z = -4$ , so $z = 2(2) - (-4) = 8$ . Therefore $3z + 1 = 25$ . The required matrix is $\begin{bmatrix} 25 & 4 \\ -2 & 4 \end{bmatrix}$ .

2023: 22 May Shift 3

Match List - I with List - II.

	List - I (Matrix)		List - II (Type)
(A)	$\begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix}$	(I)	Lower Triangular Matrix
(B)	$\begin{bmatrix} 1 & 5 & 0 & -1 \end{bmatrix}$	(II)	Row Matrix
(C)	$\begin{bmatrix} 3 & 0 & 0 \\ 1 & -1 & 0 \\ 2 & 5 & 4 \end{bmatrix}$	(III)	Diagonal Matrix
(D)	$\begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{bmatrix}$	(IV)	Scalar Matrix

Choose the correct answer from the options given below :

2023: 22 May Shift 3

If A is square matrix of order 3 with $|A| = 3$ , then $|4 \text{ adj} A|$ is equal to :

2023: 11 Aug Shift 1

Which of the following are true for the given graph.

(A) Break even point is at x = 10

(B) Break even point is at x = 8

(D) Fixed cost is 20

(E) Fixed cost is 0

Choose the correct answer from the options :

2023: 30 May Shift 3

The minimum value of $ax + by$ , where $xy = c^2$ and a, b, c are positive, is :

2023: 11 Aug Shift 1

Solution for the inequality $|3x - 7| \leq 2$ is :

2023: 30 May Shift 3

If $-\frac{1}{3x - 5} \leq 0$ , then :

If [2x+3y+12x−z3y]=[7−2−4−9]\begin{bmatrix} 2x + 3 & y + 1 \\ 2x - z & 3y \end{bmatrix} = \begin{bmatrix} 7 & -2 \\ -4 & -9 \end{bmatrix}[2x+32x−z​y+13y​]=[7−4​−2−9​], then matrix [3z+14−24]\begin{bmatrix} 3z + 1 & 4 \\ -2 & 4 \end{bmatrix}[3z+1−2​44​] is equal to:

Solution

Related questions:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

If $\begin{bmatrix} 2x + 3 & y + 1 \\ 2x - z & 3y \end{bmatrix} = \begin{bmatrix} 7 & -2 \\ -4 & -9 \end{bmatrix}$ , then matrix $\begin{bmatrix} 3z + 1 & 4 \\ -2 & 4 \end{bmatrix}$ is equal to: