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Back to Represent systems as matrix equations — Problem 5 · 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

1.

The matrix equation [31−24][xy]=[68]\begin{bmatrix} 3 & 1 \\ -2 & 4 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 6 \\ 8 \end{bmatrix} represents a system of two equations. Write out the system.