# Math Help - Write Linear Combinations as Vector-Matrix Products

1. ## Write Linear Combinations as Vector-Matrix Products

Write the following linear combinations as vector-matrix products.

A. v = 2(1,2,3) - 4 (-5,0,-1) + 3 (2,-2,3)

B. v = 3(2,-4) + 2 (1,4) - 1 (-2,-3) + 5 (1,1)

If anyone can help with a step by step how to do this or point me to a good step by step guide how to do this that would be very much appreciated.

2. Originally Posted by RedKMan
Write the following linear combinations as vector-matrix products.
A. v = 2(1,2,3) - 4 (-5,0,-1) + 3 (2,-2,3)
There are several ways that this could be answered.
You need to consult your text material for the way they want it done.

Here is one possible way:
$\left[ {\begin{array}{rrr}
1 & { - 5} & 2 \\
2 & 0 & { - 2} \\
3 & 1 & 3 \\

\end{array} } \right]\left[ {\begin{array}{r}
2 \\
{ - 4} \\
3 \\ \end{array} } \right]$