Question:
The determinant of the matrix:
is:
The determinant of the matrix:
is:
Show Hint
For determinant simplifications, use cofactor expansion along the row or column with the most zeros.
Updated On: Apr 2, 2025
- 0
- \( abc \)
- \( 4a^2b^2c^2 \)
- None of these
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Expanding determinant.
Solving determinant, we get: \[ \det(A) = 4a^2b^2c^2 \]
Was this answer helpful?
0
0
Top Questions on Sequences and Series
- Let \( a_1, a_2, a_3, \dots \) be an A.P. and \( \sum_{k=1}^{12} a_{2k-1} = -\frac{72}{5} a_1 \) and \( \sum_{k=1}^{n} a_k = 0 \). Then the value of \( n \) is:
- JEE Main - 2025
- Mathematics
- Sequences and Series
- Given: $ \frac{1}{1^4} + \frac{1}{2^4} + \frac{1}{3^4} + \cdots = \frac{\pi^4}{90}, $ $ \frac{1}{1^4} + \frac{1}{3^4} + \frac{1}{5^4} + \cdots = \alpha, $ $ \frac{1}{2^4} + \frac{1}{4^4} + \frac{1}{6^4} + \cdots = \beta $ Find the value of $ \frac{\alpha}{\beta} $.
- JEE Main - 2025
- Mathematics
- Sequences and Series
- Let \( \langle a_n \rangle \) be a sequence such that \( a_0 = 0 \), \( a_1 = \frac{1}{2} \), and \( 2a_{n+2} = 5a_{n+1} - 3a_n \).n= 0,1,2,3.... Then \( \sum_{k=1}^{100} a_k \) is equal to:
- JEE Main - 2025
- Mathematics
- Sequences and Series
- Let $ a_1, a_2, a_3, ... $ be a G.P. of increasing positive numbers. If $ a_3 a_5 = 729 $ and $ a_2 + a_4 = \frac{111}{4} $, then $ 24(a_1 + a_2 + a_3) $ is equal to
- JEE Main - 2025
- Mathematics
- Sequences and Series
- Let $A = \{1, 6, 11, 16, \ldots\}$ and $B = \{9, 16, 23, 30, \ldots\}$ be the sets consisting of the first 2025 terms of two arithmetic progressions. Then $n(A \cup B)$ is
- JEE Main - 2025
- Mathematics
- Sequences and Series
View More Questions
Questions Asked in VITEEE exam
- What is the resistance of a conductor if the potential difference across it is 12 V and the current flowing through it is 3 A?
- VITEEE - 2025
- Resistance
- Find the value of \( x \) in the equation \( 4(x - 2) = 3(x + 5) \).
- VITEEE - 2025
- Linear Equations
- Statement: No book is copy.
Conclusions: 1. No copy is book.
2. Some copies are not books.
3. All books are not copies.
4. All books are copies.- VITEEE - 2025
- Logical Reasoning
- When the time is 8:30, the angle between the minute hand and the hour hand of a clock is:
- VITEEE - 2025
- Clock and Calendar
- For a first-order reaction, the rate constant is \(k = 0.01 \, \text{s}^{-1}\). What is the half-life of the reaction?
- VITEEE - 2025
- Kinetics
View More Questions