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Back to Use matrix inverses to solve systems — Problem 1 · 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.

Let A=[2153]A = \begin{bmatrix} 2 & 1 \\ 5 & 3 \end{bmatrix} and A−1=[3−1−52]A^{-1} = \begin{bmatrix} 3 & -1 \\ -5 & 2 \end{bmatrix}.

Verify that AA−1=IAA^{-1} = I by computing the product.