The number of all possible matrices of order 3 x 3 with each entry belonging to the set 0, 1 is: Option 1: 81 Option 2: 512 Option 3: 18 Option 4: 27

The answer is '512'. View full solution:

CUET Mathematics - The number of all possible matrices of order 3 x 3 with each entry belonging to the set 0, 1 is: | PYQs + Solutions

21 May Shift 2

Match List-I with List-II

List-I (Matrix A)	List-II (Determinant of Adjoint of A)
(A) $\begin{bmatrix} 3 & 1 \\ 4 & 2 \end{bmatrix}$	(I) 9
(B) $\begin{bmatrix} 5 & -1 \\ 4 & 2 \end{bmatrix}$	(II) 8
(C) $\begin{bmatrix} 6 & -1 \\ 2 & 1 \end{bmatrix}$	(III) 14
(D) $\begin{bmatrix} 4 & 1 \\ 3 & 3 \end{bmatrix}$	(IV) 2

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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.

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22 May Shift 3

The value of the determinant $\Delta = \begin{vmatrix} 1! & 2! & 3! \\ 2! & 3! & 4! \\ 3! & 4! & 5! \end{vmatrix}$ is :