CUET Mathematics - The maximum value of the determinant of the matrix bmatrix 1 & 1 & 1 \\ 1 & 1+ x & 1 \\ 1+ x & 1 & 1 bmatrix is: (where x is real) | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 2

Algebra

Medium

core

$\sqrt{2}$

$\frac{1}{2}$

$\frac{\sqrt{3}}{2}$

$\sqrt{3}$

✅ Correct Option: 2

Related questions:

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If $A = \begin{bmatrix} 2 & 0 & 3 \\ -1 & 1 & 3 \\ 0 & -4 & 0 \end{bmatrix}$ , then the value of det (2A) is

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If A and B are symmetric matrices of the same order, then which of the following are true?

(A) AB - BA is a skew symmetric matrix

(B) AB is a symmetric matrix

(D) AB + BA is a symmetric matrix

Choose the correct answer from the options given below:

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Let $a$ and $B$ are square matrices of order 3 such that $A + B = \begin{bmatrix} 2 & -2 & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3 \end{bmatrix}$ . If $A$ is a symmetric matrix, then the value of $|B|$ is

CUET Mathematics 2025 22 May Shift 2 PYQs

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