Question:
Let A = \(\begin{pmatrix} p & -q \\ q & p \end{pmatrix}\) be a 2 × 2 matrix.
A. The rank of matrix A given by r(A) is 3
B. Matrix A is orthogonal if and only if p2 + q2=1
C. Transpose of matrix A is given by AT \(=\begin{pmatrix} p & q \\ -q & p \end{pmatrix}\)
D. Determinant of matrix A is | A |= p
Choose the most appropriate answer from the options given below:
Let A = \(\begin{pmatrix} p & -q \\ q & p \end{pmatrix}\) be a 2 × 2 matrix.
A. The rank of matrix A given by r(A) is 3
B. Matrix A is orthogonal if and only if p2 + q2=1
C. Transpose of matrix A is given by AT \(=\begin{pmatrix} p & q \\ -q & p \end{pmatrix}\)
D. Determinant of matrix A is | A |= p
Choose the most appropriate answer from the options given below:
A. The rank of matrix A given by r(A) is 3
B. Matrix A is orthogonal if and only if p2 + q2=1
C. Transpose of matrix A is given by AT \(=\begin{pmatrix} p & q \\ -q & p \end{pmatrix}\)
D. Determinant of matrix A is | A |= p
Choose the most appropriate answer from the options given below:
Updated On: Mar 10, 2024
- A and B only
- A and C only
- B and C only
- A and D only
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The Correct Option is C
Solution and Explanation
The correct answer is (C) : B and C only.
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