Lesson Plan: Properties of Inverse Matrices | Nagwa Lesson Plan: Properties of Inverse Matrices | Nagwa

Lesson Plan: Properties of Inverse Matrices Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use some properties of matrix inverse.

Objectives

Students will be able to

  • understand that the product of a matrix and its inverse is the identity matrix 𝐴𝐴=𝐼,
  • understand that the inverse of the inverse of a matrix is the matrix itself 𝐴=𝐴,
  • understand that (𝐴𝐵)=𝐵𝐴,
  • understand that 𝐴=𝐴,
  • solve problems using the properties of inverse matrices.

Prerequisites

Students should already be familiar with

  • finding the determinant of 2×2 and 3×3 matrices,
  • finding the inverse of 2×2 and 3×3 matrices,
  • finding the transpose of 2×2 and 3×3 matrices.

Exclusions

Students will not cover

  • matrices of higher order than 3×3.

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