Applied Mathematics

Algebra

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applied

If the matrix $\begin{bmatrix} 0 & 2 & 5x \\ -2 & 0 & 6 \\ 10 & -6 & y \end{bmatrix}$ is skew-symmetric matrix, then the value of $(y - 4x)$ is :

✅ Correct Option: 4

For skew-symmetric: $a_{ij}=-a_{ji}$ and diagonal entries are zero.

$a_{13}=-a_{31}\Rightarrow 5x=-10\Rightarrow x=-2$ .

Diagonal: $y=0$ .

$y-4x=0-4(-2)=8$ .

2023: 7 June Shift 1

A die is rolled thrice. What is the probability of getting a number greater than 4 in the first and the second throw of dice and a number less than 4 in the third throw?

2023: 30 May Shift 3

The set of positive integers less than 50 forming the equivalence class of 6 modulo 9 is given by :

2022: 25 May Shift 1

Match List I with List II

LIST I	LIST II
A. A matrix that has unequal number of rows and columns is called	I. Non-singular matrix
B. A matrix whose determinant is non-zero is called	II. Null matrix
C. A diagonal matrix whose diagonal elements are equal is called	III. Rectangular matrix
D. A matrix that is both symmetric and skew-symmetric is	IV. Scalar matrix

Choose the correct answer from the options given below:

2023: 7 June Shift 1

If $A = \begin{bmatrix} -2 & 1 \\ 3 & 2 \end{bmatrix}$ and $B' = \begin{bmatrix} -1 & 1 \\ 0 & 2 \end{bmatrix}$ , then $(A+2B)' =$

2023: 23 May Shift 3

The solution set of the inequation $\frac{7+5x}{4} \geq \frac{x}{3} - 10$ , $x \in \mathbb{R}$ is :

2023: 7 June Shift 1

Evaluate $3^{15} \mod(7)$

If the matrix [025x−20610−6y]\begin{bmatrix} 0 & 2 & 5x \\ -2 & 0 & 6 \\ 10 & -6 & y \end{bmatrix}​0−210​20−6​5x6y​​ is skew-symmetric matrix, then the value of (y−4x)(y - 4x)(y−4x) is :

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

If the matrix $\begin{bmatrix} 0 & 2 & 5x \\ -2 & 0 & 6 \\ 10 & -6 & y \end{bmatrix}$ is skew-symmetric matrix, then the value of $(y - 4x)$ is :