If P= $ \begin{bmatrix}1 & α & 3 \\1 & 3 & 3 \\2 & 4 & 4\end{bmatrix}$ is the adjoint of a 3 x 3 matrix A and |A| = 4, then α is equal to
If P= $ \begin{bmatrix}1 & α & 3 \\1 & 3 & 3 \\2 & 4 & 4\end{bmatrix}$ is the adjoint of a 3 x 3 matrix A and |A| = 4, then α is equal to
- 4
- 5
- 11
- 0
The Correct Option is C
Solution and Explanation
Top Questions on Matrix
Let $ A = \begin{bmatrix} 2 & 2 + p & 2 + p + q \\4 & 6 + 2p & 8 + 3p + 2q \\6 & 12 + 3p & 20 + 6p + 3q \end{bmatrix} $ If $ \text{det}(\text{adj}(\text{adj}(3A))) = 2^m \cdot 3^n, \, m, n \in \mathbb{N}, $ then $ m + n $ is equal to:
Consider the balanced transportation problem with three sources \( S_1, S_2, S_3 \), and four destinations \( D_1, D_2, D_3, D_4 \), for minimizing the total transportation cost whose cost matrix is as follows:
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Then, which one of the following is TRUE?- Let \( A \) be a square matrix of order 3 such that \( \text{det}(A) = -2 \) and \( \text{det}(3 \cdot \text{adj}(-6 \cdot \text{adj}(3A))) = 2^{m+n} \cdot 3^{mn} \), where \( m > n \). Then \( 4m + 2n \) is equal to:
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