Question

which matrix equation is equivalent to this system of equations?

Answer 1

a.

Answer 2

b.

Answer 3

c.

Answer 4

d.

Answer 5

Easy one. The equations are already arranged conveniently (they all order x, y, and z terms the same way). Once you have that, you just put the coefficients in a matrix, exactly as you see them. You make a column matrix out of x,y, and z, in the order that you see them. And you make a column matrix out of the answers, just as you see them.

That is:
Ax+By+Cz=D
Ex+Fy+Gz=H
Ix+Jy+Kz=L

Becomes:
\[\left[\begin{matrix}A & B & C \\ E & F &G \\ I & J & K\end{matrix}\right]\left(\begin{matrix}x \\ y\\z\end{matrix}\right) = \left(\begin{matrix}D \\ H \\L\end{matrix}\right)\]

Answer 6

do d?

Answer 7

so*

Answer 8

Yep :)

Answer 9

thanks so much

Answer 10

My pleasure :)

Keep up the good work