Types of matrices :
Here we are going to see different types of matrix with detailed examples.
Row matrix :
A matrix which is having only one row is called row matrix.
Examples:


The order of first row matrix is 1 x 4
The order of second row matrix is 1 x 3
Column matrix :
A matrix which is having only one column is called column matrix.


Square matrix :
A square matrix is a matrix in which the number of rows and the number of columns are equal. A matrix of order n x n is also known as a square matrix of order n.
In a square matrix A of the order n x n the elements a11,a22,a33........ann is called principal diagonal or leading diagonal or main diagonal elements.

The order of the above square matrix is 3 x 3.
Diagonal matrix
In a diagonal matrix all the entries except the entries along the main diagonal are zero.

Triangular matrix
A square matrix is known as a lower triangular matrix if all elements above main diagonal are zero .

A square matrix is known as a upper triangular matrix if all elements below main diagonal are zero .

Scalar matrix :
A square matrix is known as a scalar matrix if all the entries along the main diagonal are equal.

Identity (or) scalar matrix
When all the entries along the main diagonal are equal to 1 is known as identity matrix or unit matrix. Usually identity matrix is denoted by I₂ if the order of that particular matrix is 2 x 2 and it is denoted by I₃ if the order of that particular matrix is 3 x 3.


Zero matrix (or) null matrix (or) void matrix :
In a matrix if all the entries are zero then it is called zero matrix.


Equality of matrices :
Two matrices A and B are known as equality of matrices if both matrices is having same order. These are the types of matrices.
Transpose of matrix :
A matrix formed by interchanging rows as columns and columns as rows is called as transpose of a matrix. The transpose of matrix A is usually denoted by A^T
If A =



After having gone through the stuff given above, we hope that the students would have understood "Types of matrices"
Apart from the stuff given above, if you want to know more about "Types of matrices", please click here.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Time and work word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits