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 p 2 + q 2 =1 C. Transpose of matrix A is given by A T $=\begin{pmatrix} p & q \ -q & p \end{pmatrix}$ D. Determinant of matrix A is | A |= p Choose the most appropriate answer from the options given below:

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 p 2 + q 2 =1 C. Transpose of matrix A is given by A T   $=\begin{pmatrix} p & q \ -q & p \end{pmatrix}$ D. Determinant of matrix A is | A |= p Choose the most appropriate answer from the options given below:

cdquestions Admin · Accepted Answer

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

Answer

A and B only

Answer

A and C only

Answer

B and C only

Answer

A and D only

The Correct Option is C

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