Inverse of Matrix Worksheets





In this page inverse of matrix worksheets we are going to see practice questions of the topic matrix.

1) Reversal law for inverse

If A and B are any two non singular matrices of the same order,then AB is also non singular and (AB)⁻¹ = B⁻¹ A⁻¹ the inverse of a product is the product of the inverses taken in the reverse order.

2) Reversal law of Transposes

If A and B are matrices comfortable to multiplication,then (AB)^T = B^T A^T

3) Inverse law

For any non singular matrix A. (A^T)⁻¹ = (A⁻¹)^T

These are the properties in the topic inverse of a matrix.

Definition:

If A is a non-singular matrix,there exists an inverse which is given by


Inverse of matrix

Practice questions


1) Find the inverse of the following matrix

 
2 1 1
1 1 1
1 -1 2
 

inverse of matrix worksheet

Solution

2) Find the inverse of the following matrix

 
1 2 1
2 -1 2
1 1 -2
 

inverse of matrix worksheets

Solution

3) Find the inverse of the following matrix

 
6 2 3
3 1 1
10 3 4
 

Solution

4) Find the inverse of the following matrix

 
2 5 7
1 1 1
2 1 -1
 

Solution

5) Find the inverse of the following matrix

 
3 1 -1
2 -1 2
2 1 -2
 

Solution


Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: 

It subtracts sadness and adds happiness in our life.    

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”





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