Back to Represent systems as matrix equations — Problem 3 · 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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Recall / Warm-Up

Which of the following correctly computes the $(1, 1)$ entry of the product $\begin{bmatrix} 2 & 3 \end{bmatrix} \cdot \begin{bmatrix} 4 \\ 1 \end{bmatrix}$ ?

$2 + 4 = 6$

$2 imes 4 + 3 imes 1 = 11$

$2 imes 3 + 4 imes 1 = 10$

$2 imes 4 = 8$ and $3 imes 1 = 3$ (separate entries)