Signals and Systems

MATRICES

A rectangular array of elements that may be real numbers, complex numbers, functions or operators is called a matrix. Let us consider a matrix A as follows:

 

 

The order of the matrix is m × n since it has n rows and n columns. The matrix A can also be written as

 

A = [a_ij]_{m × n}

Equality of Two Matrices

Two matrices are called equal if and only if their corresponding elements are equal. Therefore, equal matrices should have equal number of rows and columns.

Vector

A matrix having only one column is known as a column vector. If the column vector has n elements, it known as n vector or n dimensional vector. The column vector is given ...