Introduction To Matrices
A matrix is a group of figures arranged into a set number of rows and columns
. In general the figures are real figures.
In general, matrices can include complex numbers but we won't see those here.
Each digit that builds up a matrix is called an element of the matrix. The elements in a matrix have specific locations
Different Types of Matrices
The following are different types of matrices,
row matrix
column matrix
zero matrix or a null matrix
square matrix
diagonal matrix
unit matrix
Description about the different types of matrices:
Row matrix:
Row Matrix is a matrix with only one row.
Amount of two row matrices of same dimension is also a row matrix of the same dimension.
The dimension of a row matrix is given as 1 n where n is the number of columns.
Example of Row Matrix
Its a row matrix as it has only one row [ 1,5,3 ]
Column Matrix:
A column matrix is a matrix which contains only one column.
c=(3)
C is a column matrix of order 1 1
d= '((-5),(3))'
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D is a column matrix of order 2 1
A column matrix of order 2 1 is also called a vector matrix.
zero matrix or a null matrix:
A zero matrix or a null matrix which contains all the elements are zero.
O = '[[0,0,0],[0,0,0]]'
O is a order of matrix 2*3
Square matrix:
A square matrix is a matrix in which all the rows and columns are equal.
T='[[5,3],[3,0]]'
T is a square matrix with the order of 2*2
V= '[[7,1,9],[5,6,4],[3,8,2]]'
V is a square matrix with the order of 3*3
Diagonal matrix:
A diagonal matrix is also a square matrix which contains all the elements are zero except for those in the diagonal from top left to bottom right; which is known as the leading diagonal of the matrix.
B= '[[3,0,0],[0,4,0],[0,0,2]]'
B represents a diagonal matrix
unit matrix
A unit matrix is also a diagonal matrix when elements in the diagonal are all same ones.
P= '[[1,0,0],[0,1,0],[0,0,1]]'
Here P denotes the UNIT matrix
Examples for Different Types of Matrices:
let we see some examples for the different types of matrices;
Square matrix:
A square matrix is a matrix in which all the rows and columns are equal.
T= '[[5,3],[3,0]]'
T is a square matrix with the order of 2*2
V='[[7,1,9],[5,6,4],[3,8,2]]'
V is a square matrix with the order of 3*3
Diagonal matrix:
The diagonal matrix is also a square matrix which contains all the elements are zero except for those in the diagonal from top left to bottom right; which is known as the leading diagonal of the matrix.
B= '[[3,0,0],[0,4,0],[0,0,2]]'
B represents a diagonal matrix
unit matrix
A unit matrix is also a diagonal matrix when elements in the diagonal are all same ones.
P= '[[1,0,0],[0,1,0],[0,0,1]]'
Here P denotes the UNIT matrix
by: mathqa
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