Question

Let A be vectors in Rⁿ, and let Q be an matrix. Write the matrix Q as a product of two matrices (neither of which is an identity matrix).

Answer 1

The matrix Q can be written as a product of two matrices P and R, where P represents the transformation of the vector A and R represents the transformation performed by Q on the transformed vector.

Step-by-step explanation:

The matrix Q can be written as a product of two matrices by using the properties of matrix multiplication. Let A be a vector in Rⁿ and Q be a matrix. We can express Q as a product of matrices P and R as follows:

Q = P · R

where P is a matrix that represents the transformation of the vector A and R is a matrix that represents the transformation performed by Q on the transformed vector.