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Matrices : Vector Equations

Please give step by step instructions and name each step like triangular form, augmented matrix etc so I know when and what to do and can understand it. We are not using calculator so the steps need to be shown to the solution.

1) Compute u + v and u - 2v

u = -1 ; v = -3
2 -1

2) Display the following vectors using arows on an xy graph: u, v, -v, -2v, u+v, u-v, and u-2v. Use u and v from #1.

3) Write a system of equations that is = to the given vector equation.

6 -3 1
xsub1 -1 + xsub2 4 = -7
5 0 -5

4) Write a vector equation that is equivalent to the given system of equations.

xsub2 + 5xsub3 =0
4xsub1 + 6xsub2 - xsub3 = 0
-xsub1 + 3xsub2 - 8xsub3 = 0

Solution Summary

Vector equations are expressed using matrices and graphs. The solution is well-presented.

$2.19