Matrices

       
           

In mathematics matrix or Matrices can be defined as a rectangular array of numbers, symbols, or expression. The elements in the matrix are called as the entries of numbers or the words. A matrix can be divided into two parts first is row and second part is column.

Matrices in maths can be represented as:

[ a1    b1]

[ a2    b2]2x2

Here, a1 a2 represents column where as a1 b1 represents the row of the matrix and this is the matrix of order 2 x 2.

There are various mathematical operations that can be performed on matrix like:

1.       Addition

2.       Subtraction

3.       Multiplication

4.       Division

The matrices of same size that means the order of both matrices is same can be added or subtracted element by element.

If (P) and (Q) represent two matrices problems then the addition can be performed as:

P = [ a1   b1 ]

       [ a2   b2]

Q = [ c1   c2 ]

       [ d1   d2]

( P + Q ) = [ a1 + c1    b1 + c2 ]

                   [ a2 + d1   b2 + d2]

In math matrices can be of different types like:

1.       If (P) is a matrix having m rows and n columns

               And m = n then it is called as square matrix.

2.       If the matrix (p) is a square matrix and having a condition that the non diagonal elements are zero then it is a diagonal matrix.

3.       If a matrix contains only one row then it is said to be a row matrix.

4.       If a matrix contains only one column then it is said to be a column matrix.

5.       If all the elements of a matrix are zero then it is said to be a zero matrix.

6.       And if we have a square matrix such that its first diagonal contains (1) and all other non diagonal elements are zero then it is said to be an identity matrix.

Math Topics