Understand matrix multiplication properties
Start lessonBegins with Matrix multiplication properties · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
HSN.VM.C.9
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What you'll learn
- Demonstrate with a specific example that matrix multiplication is not commutative: $AB \neq BA$ in general.
- Verify that matrix multiplication is associative: $(AB)C = A(BC)$.
- Apply the distributive properties: $A(B+C) = AB + AC$ and $(A+B)C = AC + BC$.
- Recognize that $AB = O$ does not imply $A = O$ or $B = O$ (zero divisors exist in matrix algebra).
- Explain why non-commutativity requires careful attention to the order of factors in matrix expressions.
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Slides
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Matrix multiplication properties
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