Let A be a non singular square matrix of 2 x 2. Then, |adj\ A| is equal to Option 1: |A| Option 2: |A|^2 Option 3: |A|^3 Option 4: 2|A|

The answer is '|A|'. View full solution:

CUET Mathematics - Let A be a non singular square matrix of 2 x 2. Then, |adj\ A| is equal to | PYQs + Solutions

19 May Shift 1

Which of the following statements are correct?

(A) If A is a square matrix, then $|A^2| = |A|^2$ .

(B) If A and B are square matrices of the same order, then det (AB) = det (A) + det (B).

(C) If A is a square matrix of order 3 and $|A|=2$ , then the value of $|-3A|$ is 54.

(D) If the matrix $\begin{bmatrix} 5 -x & x -1 \\ 3 &5 \end{bmatrix}$ is singular, then the value of x is 7/2.

Choose the correct answer from the options given below:

22 May Shift 3

Which of the following statements are correct ?

(A) $|A'| = |A|$ , where A is the transpose of matrix A

(B) If $A = [a_{ij}]_{3 \times 3}$ , then $|4A| = 64|A|$

(C) $|A| = |\text{adj } A|^{n-1}$ , where n is the order of the matrix

(D) If A is an invertible matrix of order 2, then $\det(A^{-1})$ is equal to $\frac{1}{\det(A)}$

Choose the correct answer from the options given below :

17 Aug Shift 2

If $x-y=2$ and $y-z=3$ then value of $\begin{vmatrix}1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2\end{vmatrix} =$