Matrices for systems of equations

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.

"N 705. Multiply matrices" "N 706. Apply properties of matrices and properties of matrices as a number system" "A 604. Solve systems of two linear equations"

"N 705. Multiply matrices"
"N 706. Apply properties of matrices and properties of matrices as a number system"
"A 604. Solve systems of two linear equations"

What you'll learn

Read a system of two linear equations as the matrix equation `AX = B`, and confirm by multiplying out `AX` that it reproduces the system
State the dimensions of `A`, `X`, and `B`, check that `AX` is defined and has the shape of `B`, and identify an undefined product
Derive `X = A^-1 B` by multiplying both sides on the left, and explain why `X A^-1` and `B A^-1` are undefined
Explain why an invertible coefficient matrix guarantees exactly one solution, and why `det(A) = 0` rules out a unique solution

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Slides

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