Explore BrainMass
Share

Matrices and Linear Transformations : Dimension of the range and the null space of T, 1-1, Onto and Preimage

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

Please see the attached file for the fully formatted problems.

keywords: one-to-one

© BrainMass Inc. brainmass.com September 21, 2018, 2:12 pm ad1c9bdddf - https://brainmass.com/math/linear-transformation/dimension-range-null-space-109833

Attachments

Solution Preview

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

Proof:
Let , , and , then we have
, ,

...

Solution Summary

Matrices and Linear Transformations, Dimension of the range and the null space of T, 1-1, Onto and Preimage are investigated. The solution is detailed and well presented.

$2.19