When Can We Reverse a Transformation? 1

Wait, let's start over — teach your class how to return to the beginning. The first instructional activity looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant of one and set up a system of equations to find the appropriate inverse matrix. 

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CCSS: Designed
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Instructional Ideas
  • Have the class members calculate the determinant of the matrix and its inverse to begin seeing a pattern
Classroom Considerations
  • The class should be familiar with the Pythagorean identity for trigonometry
  • Class members need to be able to solve systems of equations
  • The lesson is the 29th installment in a unit of 32
  • The answer key shows the systems of equations your class must solve
  • The teacher notes provide anticipated responses to discussion questions
  • Question one in the problem set asks for a description of a formula that has not be fully developed in the lesson