Question

Every orthogonal matrix is invertible. O True O False

Answer 1

True

Explanation:

Every orthogonal matrix is invertible. This is a true statement.

Orthogonal matrices are square matrix whose rows and columns are orthogonal unit vectors.

In an orthogonal matrix columns are linearly independent and since the columns are linearly independent the matrix will be matrix will be invertible. This is according to invertible matrix theorem.