# Mathematics - Linear Operators explained in this solution

Not what you're looking for?

1. solve the following equations and show work.

2. You are given the following system of linear equations:

x - y + 2z = 13

2x + xy - z = -6

-x + 3y + z = -7

a. Provide a coefficient matrix corresponding to the system of linear equations.

b. What is the inverse of this matrix?

c. What is the transpose of this matrix?

d. Find the determinant for this matrix.

e. Calculate the following for

a. A * B

b. -4A

c. AT

4. Solve the following linear system using Gaussian elimination.

Show work.

3x + y - z = -5

-4x + y = 6

6x - 2y + 3z = 2

5. Solve the following linear system for x using Cramer's rule.

Show work.

x + 2y - 3z = -22

2x - 6y + 8z = 74

-x - 2y + 4z = 29

##### Purchase this Solution

##### Solution Summary

Solutions to the posted problems given with step by step explanation and detailed working so that the students could easily understand and use these solutions as model solutions to solve other similar problems. Problems using Gaussian elimination and Cramers rule are also solved in the attached solution file.

##### Solution Preview

Following are just a few lines from here and there from the original solution. The detailed solutions with all the working and explanation ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### 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

##### Multiplying Complex Numbers

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