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# Matrices : Vector Equations

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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.

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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 ...

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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