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Back to Represent systems as matrix equations — Problem 1 · Task Set 46

Exercises: Represent Systems of Linear Equations as Matrix Equations

Show your work for all matrix multiplication. For system-matrix conversions, verify your matrix equation by computing Ax and confirming it matches the system's left-hand sides.

Grade 11·20 problems·~45 min·Common Core Math - HS Algebra·standard·hsa-rei-c-8
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Fluency Practice

A diagram showing 2x2 matrix multiplication with arrows connecting row 1 of the left matrix to column 1 of the right matrix, labeled as a dot product.
1.

Compute the matrix product [213−4][50−12]\begin{bmatrix} 2 & 1 \\ 3 & -4 \end{bmatrix} \begin{bmatrix} 5 & 0 \\ -1 & 2 \end{bmatrix}. Show each entry as a dot product.