Define Invertible Matrices. Give an example.

Kyran Hudson

Kyran Hudson

Answered question

2020-12-28

Define Invertible Matrices. Give an example.

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2020-12-29Added 99 answers

Step 1
An n×n square matrix A is called Invertible Matrices, if there exists an n x n square matrix B such that AB = BA = I.
AB=BA=In
An×n,Bn×n and In is identity matrix of n×n
Step 2
In other words, determinant of A is non - zero, then matric A is invertible. det(A)=|A|0
Step 3
For example, let us assume
A=[1123]
Step 4
So, the determinant of A is
|A|=[1123]
=1(3)2(1)
=3+2
=5
|A|0A is invertible.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-22Added 2605 answers

Answer is given below (on video)

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