Finding the Inverse of a Matrix
Grade 8th Grade · Math · 45 min
What's Included
Learning Objective
I can determine if a 2x2 matrix has an inverse.
Warm-Up Video
Khan Academy · 7:30
Inverse matrices and matrix equations | Matrices | Precalculus | Khan Academy
Guided Notes
3 key concepts
- 1
A system of equations can be represented as a matrix equation, where the coefficients of the variables form a matrix and the variables form a vector.
- 2
If matrix A has an inverse, multiplying both sides of the equation A * vector(x, y) = vector(p, q) by A inverse on the left isolates the unknown vector.
- 3
A 2x2 matrix A does not have an inverse if its determinant is equal to zero, indicating the system of equations represented by A does not have a unique solution.
Practice Questions
9 questions · Multiple choice & Short answer & True/false
Exit Ticket
Quick comprehension check
“Does the following matrix have an inverse? [[6, 2], [3, 1]] Show your work.”
Complete Lesson Package
Get all 3 ready-to-use resources:
