Matrix Multiplication Is Not Commutative

Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex numbers. 

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CCSS: Designed
Instructional Ideas

  • Create a graphic organizer to record examples of matrix multiplication representing vectors, complex numbers, and transformations
  • Use the scaffolding suggestions to differentiate within your classes
Classroom Considerations

  • Expects pupils to understand how vector and complex number operations relate to matrices
  • The 10th lesson in a series of 29 
Pros

  • Includes examples where the commutative property is true, allowing individuals to understand it must always be true
  • Provides a set of problems for independent or guided practice
Cons

  • None
Common Core