Finding the Inverse of a Matrix
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Objective
I can determine if a 2x2 matrix has an inverse.
Part 1 of 4
Warm-up video
Khan Academy · 7:30Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 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.
Part 3 of 4
Practice
9 questions
What does it mean for a 2x2 matrix to have an inverse?
What is the identity matrix and why is it important when discussing matrix inverses?
Part 4 of 4
Exit ticket
Quick comprehension check
“Does the following matrix have an inverse? [[6, 2], [3, 1]] Show your work.”
Sample answer included in the free materials
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