CUET Mathematics - Let A = bmatrix 0 & 2y & z \\ x & y & -z \\ x & -y & z bmatrix and I be an identity matrix of order 3. If A^TA=I, then x^2+y^2+z^2 is equal to: | PYQs + Solutions | AfterBoards

CUET Mathematics 2026 29th May Shift 1 PYQs

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CUET Mathematics 2026 29th May Shift 1

Algebra

>

Medium

common

1

$\dfrac{3}{2}$

$\dfrac{5}{6}$

$\dfrac{7}{6}$

✅ Correct Option: 1

Related questions:

3 June Shift 1

Let P and Q be any two invertible matrices of the same order. Then

Match List-I with List-II

List-I	List-II
Matrix	Equivalent matrix
(A) $(P Q)^{-1}$	(I) $Q^{-1}P$
(B) $(P^{-1}Q)^{-1}$	(II) $Q P^{-1}$
(C) $(P Q^{-1})^{-1}$	(III) $Q^{-1}P^{-1}$
(D) $(P^{-1}Q^{-1})^{-1}$	(IV) Q P

Choose the correct answer from the options given below:

30 May Shift 2

If the system of equations

$x - 3y + 5z = 3$

$x - 2y + 4z = 4$

$2x - 7y + \lambda z = 5$

has infinite number of solutions, then the value of $\lambda$ is:

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The length of the plot is:

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