CPM Homework Help : A2C Problem 7-202

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7-202.

Represent each system of equations below with matrices. You do not have to solve the systems.

$p + 2q = 7 \\3p + 4q = 11$

Answer (a):

$\begin{bmatrix} 1&2\\ 3&4 \end{bmatrix}\begin{bmatrix} p\\ q \end{bmatrix}=\begin{bmatrix} 7\\ 11 \end{bmatrix}$

$4m − 5n = −2\\ −3m + 4n = 9$
Hint (b):
See part (a).

$4x − y + z = −5\\ 2x + 2y + 3z = 10\\ 5x − 2y + 6z = 1$

$7w − 3x + 2z = 41\\ −2w + x − z = −13\\\ 4w + y − 2z = 12\\ 2 − 3x = 1$
Hint (d):
See parts (a) and (c); rearranging the equations so the variables are in the same order helps.
Notice that there are four variables in total;filling in 0's for the missing variables is also helpful.

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