Column Matrix


A matrix is said to be a column matrix if it has only one column.  In general, a = [aij] m x 1 is a column matrix of order m x 1
For example:     typesofmatrices2
Order of A is 3 x 1 and that of B is 4 x 1

Row Matrix

A matrix is said to be a row matrix if it has only one row.  In general,           B = [bij] 1 x n is a row matrix of order 1 x n

For example: A = [2  0  5  -3]        B = [1/2  0   √3     6    7]
Here order of A is 1 x 4 and that of B is 1 x 5

Square Matrix

A matrix whose numbers of columns are equal to number of rows is said to be a square matrix.  Thus an m x n matrix is said to be a square matrix if m = n and is known as a square matrix of order ‘n’.
For example:   typesofmatrices3 
Hence A is of order 3 and B is of order 2.

Diagonal Matrix

A square matrix B = [bij]mxm is said to be a diagonal matrix if all its non diagonal elements are zero.
For example: typesofmatrices4

Hence the orders of A, B and C are 1,2 and 3 respectively

Scalar Matrix

A diagonal matrix is said to be a scalar matrix if its diagonal elements are equal.
That is bij = 0, when i ≠ j
           bij = k, when i = j, for some constant k
For example: typesofmatrices5
Hence the order of A, B and C are 1, 2 and 3 respectively.

Identity Matrix

A square matrix in which elements in the diagonal are all 1 and rest all are zero is called and identity matrix.  In other words, the square matrix A =


Zero Matrix

A matrix is said to be a zero matrix if all its entries are zero.  Another name for zero matrix is null matrix.  It is denoted by 0.
For example:    typesofmatrices7
The orders of the above matrices are 1 x 1, 2 x 2 and 2 x 3 respectively.

Now try it yourself!  Should you still need any help, click here to schedule live online session with e Tutor!

About eAge Tutoring:

eAgeTutor.com is the premium online tutoring provider.  Using materials developed by highly qualified educators and leading content developers, a team of top-notch software experts, and a group of passionate educators, eAgeTutor works to ensure the success and satisfaction of all of its students.  

Contact us today to learn more about our tutoring programs and discuss how we can help make the dreams of the student in your life come true!

Reference Links:





Blog Subscription