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Learning Goal
‹5 of 5 in this cluster
Use matrix inverses to solve systems
Start lessonBegins with Matrix inverses · 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.
HSA.REI.C.9
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What you'll learn
- Explain what it means for a 2x2 matrix to have an inverse: A^-^1 such that AA^-^1 = A^-^1A = I
- Compute the inverse of a 2x2 matrix using the formula A^-^1 = (1/det(A)) * [d -b; -c a] where A = [a b; c d] and det(A) = ad - bc
- Determine whether a matrix is invertible by checking whether the determinant is nonzero
- Use the matrix inverse to solve the system Ax = b: compute x = A^-^1b
- Use technology (graphing calculator or software) to find inverses and solve matrix equations for 3x3 and larger matrices
Review first:
Slides
Step through the lesson, or watch it as a narrated video
1
Matrix inverses
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