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

Lesson Plan: Properties of Inverse Matrices Mathematics • Third Year of Secondary School

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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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