Purchase Solution

Matrix Proof : Row Equivalence

Not what you're looking for?

Ask Custom Question

2. Write a matrix algebra proof for the following statement: Let A and B be nxm matrices. If A is row equivalent to B, then B is row equivalent to A. Show work.

Attachments
Purchase this Solution

Solution Summary

A matrix proof is provided in the solution.

Solution Preview

We say that the matrices A and C are row-equivalent if one can be obtained from the other by a succession of operations of the following kinds:

1-interchanging two rows;

2-multiplying a row by a non-zero constant;

3-replacing a row by the sum of it and (a non-zero multiple of) another ...

Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

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.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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.