If A = bmatrix x & 3 \\ 2 & 4 bmatrix, B = bmatrix 2 & 3 \\ y & 3 bmatrix and C = bmatrix z & 1 \\ 8 & 2 bmatrix are singular matrices then: (A) x > y (B) y > z (C) z > x (D) x ≠ y ≠ z Choose the correct answer from the options given below: Option 1: (A) and (B) only Option 2: (B) and (C) only Option 3: (C) and (D) only Option 4: (D) only

The answer is '(C) and (D) only'. View full solution:

Algebra > Matrices & Determinants

Medium

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If $A = \begin{bmatrix} x & 3 \\ 2 & 4 \end{bmatrix}$, $B = \begin{bmatrix} 2 & 3 \\ y & 3 \end{bmatrix}$ and $C = \begin{bmatrix} z & 1 \\ 8 & 2 \end{bmatrix}$ are singular matrices then: (A) $x > y$ (B) $y > z$ (C) $z > x$ (D) $x \neq y \neq z$ Choose the correct answer from the options given below:

(A) and (B) only

(B) and (C) only

(D) only

✅ Correct Option: 3

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