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Back to Use matrix inverses to solve systems — Problem 3 · Task Set 48

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
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Fluency Practice

1.

Find A−1A^{-1} for A=[2−143]A = \begin{bmatrix} 2 & -1 \\ 4 & 3 \end{bmatrix}. Show all steps including the determinant calculation.