The value of the determinant vmatrix a & b & 0 \\ -b & a & 0 \\ 0 & 0 & c vmatrix is : Option 1: (a^2 + b^2)c Option 2: (a^2^2 + b^2^2)c Option 3: (a^2^2 - b^2^2)c Option 4: (a^2 + b^2)c^2

The answer is '(a^2^2 + b^2^2)c'. View full solution:

CUET Mathematics - The value of the determinant vmatrix a & b & 0 \\ -b & a & 0 \\ 0 & 0 & c vmatrix is : | PYQs + Solutions

CUET Mathematics 2023 15 June Shift 2

Algebra

Medium

$(a^2 + b^2)c$

$(a^2\cos^2\theta + b^2\sin^2\theta)c$

$(a^2\cos^2\theta - b^2\sin^2\theta)c$

$(a^2 + b^2)c^2$

✅ Correct Option: 2

Related questions:

16 May Shift 1

Let A = [aᵢⱼ]ₙₓₙ and B = [bᵢⱼ]ₙₓₙ. Then which of the following is/are true?

(A) AB = BA

(B) (AB)⁻¹ = B⁻¹ A⁻¹

(D) AB = 0 ⇒ A = 0 or B = 0

Choose the correct answer from the options given below:

29 May Shift 2

If A is a square matrix such that $A^2 = A$ then which of the following statements are TRUE ? (Where I is an identity matrix of same order as A)

(A) $(I+A)^4 = I + 15A$

(B) $(I+A)^2 = I + 3A$

(D) $(I+A)^3 = I + 7A$

Choose the correct answer from the options given below:

21 May Shift 1

For some constant 'k', if the system of linear equations

$2x - y + 3z = 1$

$x - 2y + z = 3$

$kx + y - z = 0$

has a unique solution, then