Problem:
Matrices : Vector Equations
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