Q28Multiple correct3 Marks11 Dec 2022

Let A be a 3x3 orthogonal matrix. Which of the following options is/are true?

A

The rows of A are not linearly independent.

B

The system of linear equations Ax = b, where b != 0 has infinitely many solutions.

C

The columns of A form an orthogonal set of vectors of the inner product space $\mathbb{R}^3$ w.r.t. the dot product.

D

The rank of A is 3.