Question:
If matrix \( A = \begin{pmatrix} 3 & 2 & 4 \\1 & 2 & -1 \end{pmatrix} \) and
If matrix \( A = \begin{pmatrix} 3 & 2 & 4 \\1 & 2 & -1 \end{pmatrix} \) and
Show Hint
Use the determinant formula for a 2x2 matrix to find the value.
Updated On: Jan 12, 2026
- \( 4 \)
- \( -4 \)
- \( 5 \)
- \( 7 \)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
To find the determinant, use the matrix determinant formula.
Final Answer: \[ \boxed{4} \]
Final Answer: \[ \boxed{4} \]
Was this answer helpful?
0
0
Top Questions on Matrices and Determinants
- Let \(A=[a_{ij}]\), \(\det(A)\neq 0\), and \(B=[b_{ij}]\) be two \(3\times 3\) matrices. If \[ b_{ij}=3^{\,i-j}\,a_{ij}\quad \text{for all } i,j=1,2,3, \] then:
- JEE Main - 2026
- Mathematics
- Matrices and Determinants
- If matrices \( A \) and \( B \) are such that \[ A = \begin{bmatrix} 0 & -2 & 3 \\ -2 & 0 & 1 \\ -1 & 1 & 0 \end{bmatrix} \] and \( B(I - A) = (I + A) \), then find \( B \).
- JEE Main - 2026
- Mathematics
- Matrices and Determinants
- Let \[ A = \begin{bmatrix} 2 & -3 \\ 1 & -2 \end{bmatrix}, \quad B = \begin{bmatrix} 14 & 21 \\ 7 & 10 \end{bmatrix}. \] If \[ (A^{4} + B) \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}, \] find (x, y).
- JEE Main - 2026
- Mathematics
- Matrices and Determinants
The value of the determinant where \( \omega \) is cube root of unity is \[ \begin{vmatrix} \omega^2 & \omega & \omega^2 \\ \omega^2 & \omega & \omega^2 \\ \omega^2 & \omega & \omega^2 \end{vmatrix} \]
- OJEE - 2025
- Mathematics
- Matrices and Determinants
- For the matrix \( A = \begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix} \), the matrix \( A^{2n} \) has the form
- OJEE - 2025
- Mathematics
- Matrices and Determinants
View More Questions
Questions Asked in VITEEE exam
- Find the value of \( x \) in the following equation: \[ \frac{2}{x} + \frac{3}{x + 1} = 1 \]
- VITEEE - 2025
- Algebra
- In a code language, 'TIGER' is written as 'JUISF'. How will 'EQUAL' be written in that language?
- VITEEE - 2025
- Data Interpretation
- TUV : VYB :: PRA : ?
- VITEEE - 2025
- Odd one Out
- What is the pH of a solution with a \( \text{H}^+ \) concentration of \( 1 \times 10^{-3} \) mol/L?
- VITEEE - 2025
- Solubility Equilibria Of Sparingly Soluble Salts
- In a code language, 'TIGER' is written as 'JUISF'. How will 'EQUAL' be written in that language?
- VITEEE - 2025
- Odd one Out
View More Questions