Exercises: Find Matrix Inverses and Solve Systems

For all inverse computations, verify your result by checking that AA⁻¹ = I. For system solutions, verify by substituting into the original equations.

Grade 11·18 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-rei-c-9

Work through problems with immediate feedback

Recall / Warm-Up

For a 2×2 matrix $A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$ , the determinant is:

$a + d$

$ab - cd$

$ad - bc$

$a \cdot b \cdot c \cdot d$