Lesson Plan: Inverse of a 2 × 2 Matrix | Nagwa Lesson Plan: Inverse of a 2 × 2 Matrix | Nagwa

# Lesson Plan: Inverse of a 2 × 2 Matrix Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to check whether a 2 × 2 matrix has an inverse and then find its inverse, if possible.

#### Objectives

Students will be able to

• find whether a matrix is invertible using determinants,
• understand the definition of a singular matrix (not invertible),
• prove that the two matrices are multiplicative inverses of each other,
• find the inverse of a matrix, if possible.

#### Prerequisites

Students should already be familiar with

• matrices,
• matrix operations (addition, subtraction, and multiplication),
• matrix determinants,
• the identity matrix.

#### Exclusions

Students will not cover

• the inverse of a (or higher) matrix,
• using the inverse of a matrix to solve systems of two linear equations,
• explaining the adjoint method to find the inverse of a matrix.

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