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:

• A. A and B only
• B. A and C only
• C. B and C only
• D. A and D only

Answer 1

Answer: (C)

B and C only

Answer 2

The correct answer is (C) : B and C only.