Purchase Solution

# Matrices : Row Operations and Echelon Form

Not what you're looking for?

1) An augmented matrix of a linear system has been reduced by row operations to the following form. Continue the appropriate row operations and describe the solution set of the original system.

Please show every step no matter how minor, use the brackets for each reduction and write out every equation change. Please leave no details out. Thanks!

1 -2 0 3 -2
0 1 0 -4 7
0 0 1 0 6
0 0 0 1 -3

2) Solve the given augmented system.

Please show every step no matter how minor, use the brackets for each reduction and write out every equation change. Please leave no details out. Thanks!

1 -3 4 -4
3 -7 7 -8
-4 6 -1 7

3) Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.
Please show every step no matter how minor, use the brackets for each reduction and write out every equation change. Please leave no details out. Thanks!

a)h is just a variable right?
b)What does it mean a consistent linear system?

c) 1 h -3
-2 4 6

4) Row reduce the given matrix to educed echelon form. Circle the pivot positions in the final matrix and in the original matrix, and list the pivot columns.

Please show every step no matter how minor, use the brackets for each reduction and write out every equation change. Please leave no details out. Thanks!

1 3 5 7
3 5 7 9
5 7 9 1

##### Solution Summary

Matrix Row Operations and Echelon Form are investigated. The solution is detailed and well presented.

##### Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

matricies problems help!
________________________________________
1) An augmented matrix of a linear system has been reduced by row operations to the following form. Continue the appropriate row operations and describe the solution set of the original system.

Please show every step no matter how minor, use the brackets for each reduction and write out every equation change. Please leave no details out. Thanks!

1 -2 0 3 -2
0 1 0 -4 7
0 0 1 0 6
0 0 0 1 -3

Solution. We use r2+4*r4 to denote an operation: the 4th row times 4, then add on the second row. We get

1 -2 0 3 -2
0 1 0 0 -5
0 0 1 0 6
0 0 0 1 -3 ...

Solution provided by:
###### 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!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Probability Quiz

Some questions on probability