Question

2
3)An orthogonal matrix A is
called improper orthogonal if
IAI=------​

Answer 1

Answer:The matrix is said to be an orthogonal matrix if the product of a matrix and its transpose gives an identity value.  Before discussing it briefly, let us first know what matrices are. Matrix is a rectangular array of numbers which are arranged in rows and columns. Let us see an example of a 2×3 matrix;

Suppose A is a square matrix with real elements and of n x n order and AT is the transpose of A. Then according to the definition, if, AT = A-1 is satisfied, then,

A AT = I

Explanation: