Explain the concept of Inverse Matrices?

Cem Hayes

Cem Hayes

Answered

2020-12-28

Explain the concept of Inverse Matrices?

Answer & Explanation

odgovoreh

odgovoreh

Expert

2020-12-29Added 107 answers

Step 1
The inverse of a matrix X is a matrix such that when we multiply the matrix X by its inverse the result is the identity matrix. The symbol that we use to denote for the inverse matrix for X is X1
That is XX1=X1X=1
There are two conditions for a matrix to have inverse.
(1) The matrix should be a square matrix.
(2) The determinant of the matrix should be non-zero |X|0
Step 2
The matrix which are not square matrix do not have the inverse.
A matrix which has inverse it also known as invertible matrix.
Here we can see as an example how to find inverse of a matrix
Let us consider a matrix
X=(abcd)
|X|=(acbd)
|X|=(acbd)0
X1=1|X|(dbca)
X1=1(acbd)(dbca)
Jeffrey Jordon

Jeffrey Jordon

Expert

2022-01-24Added 2575 answers

Answer is given below (on video)

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