Learning Objectives:

__Math Tutoring on Determining Inverse Matrices__

__ __

An **(n x n) square matrix** with a main diagonal consist of **1's** and all other elements are **0's** is called the **Identity Matrix** **I _{n}**.

If **A** is an **(m x n) matrix**, then** I _{m}A = A and AI_{n }= A**.

If **A** is an **(n x n) square matrix**, then **AI _{n }= I_{n}A = A. **

Now if A is an **(n x n) invertible matrix** such that **AB = BA = I _{n},** then

We need to remember that, not all **matrices** have an **inverse**.

We can determine** Inverse Matrices** during math tutoring in two steps:

1) Create an **augmented matrix** in the form **[A|I _{n}]**.

2) Perform row **matrix** operations resulting in an **augmented matrix** in the form **[I _{n}|A^{-1}]**.

The main idea here is to convert **A** into** I _{n}** on the left side of the

** **

**Learn ‘****Determining Inverse Matrices’ with AffordEdu**

Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert. *

**Hook questions:**

*1. **What is the role of Identity Matrix in finding Inverse Matrix?*

*2. **What is Augmented Matrix?*

*3. **Define Invertible Matrix.*

* *

* *

** **

** **

**Learn ‘Determining Inverse Matrices’ with Online One on One Math Tutoring.**

Struggling with **Determining Inverse Matrices? **Need math help for homework? You are not the only one. Fortunately, our experts in math tutoring** **are online now and are ready to help.