Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Linear Algebra With Applications
Found in: Page 39
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Determine whether the statements that follow are true or false, and justify your answer.

15: The system Ax=[0001]inconsistent for all 4×3matrices A.

True, the given system of equations is inconsistent.

See the step by step solution

Step by Step Solution

Step 1:Corresponding augmented matrix

We have given that,a system of equationslets the A matrix be


Now, we have given the system.


Step 2: Justification of answer

Put the value of A matrix in the above equation we will get.


Now since the matrix A has 3 columns then it has a maximum of 3 pivot entry.

Also, the pivot entry not possible in the last row.

This means for any value of xthe value01

Hence, the given statement is true, because the given system is inconsistent.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.