College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 6, Matrices and Determinants - Section 6.2 - The Algebra of Matrices - 6.2 Exercises - Page 512: 19

Answer

The result of $3X-B$, if defined, can only be a $2\times 2$ matrix, which can not be equal to a $3\times 2$ matrix, because their dimensions are not equal. No solution exists.

Work Step by Step

Observing the dimensions, B is a $2\times 2$ matrix, C is $3\times 2$ matrix. For the LHS to be defined, 3X-B must be defined, so X must be a $2\times 2$ matrix. The result of $3X-B$, if defined, can only be a $2\times 2$ matrix, which can not be equal to a $3\times 2$ matrix, because their dimensions are not equal. No solution exists.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.