Questions and Solutions

Class: 12 Subject: Math Type: Mcq Year: 2022

Question 1:

If \(|A| = 2\), where A is a \(2 \times 2\) matrix, then \(|4A^{-1}|\) equals:

  • A. 4
  • B. 2
  • C. 8
  • D. \(\frac{1}{32}\)
Class: 12 Subject: Math Type: Mcq Year: 2022

Question 2:

Let A be a \(3 \times 3\) matrix such that \(|\text{adj A}| = 64\). Then \(|A|\) is equal to:

  • A. 8 only
  • B. -8 only
  • C. 64
  • D. 8 or -8
Class: 12 Subject: Math Type: Mcq Year: 2023

Question 3:

If \( A = \begin{bmatrix} 0 & 1 & -1 \\ 1 & 2 & 1 \\ 0 & 3 & -2 \end{bmatrix} \), then the value of \( |A \text{ adj (A)}| \) is:

  • A. -1
  • B. 1
  • C. 2
  • D. 3
Class: 12 Subject: Math Type: Mcq Year: 2024

Question 4:

If A is a square matrix of order 2 such

  • A. 16
  • B. 64
  • C. 256
  • D. 512