Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

6 Problems with Solutions in Assignment - Linear Algebra I | MA 371, Assignments of Linear Algebra

Material Type: Assignment; Class: Linear Algebra I; Subject: Mathematics; University: Rose-Hulman Institute of Technology; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/13/2009

koofers-user-hn7-1
koofers-user-hn7-1 🇺🇸

10 documents

1 / 6

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Liner Algebra I
Worksheet #1
Professor Broughton
Name: Box #:
In the questions below convert the system to matrix form. Then reduce to
echelon form using only the following:
switch two rows if forced
subtract multiple of a higher row from a lower row.
After that solve the system using back substitution.
Determine whether the system is over or under-determined, consistent or in-
consistent
1.
2x+ 3y+ 4z= 2
2x+ 4y+ 5z= 5
5x+ 6y+ 7z= 1
pf3
pf4
pf5

Partial preview of the text

Download 6 Problems with Solutions in Assignment - Linear Algebra I | MA 371 and more Assignments Linear Algebra in PDF only on Docsity!

Liner Algebra I

Worksheet

Professor Broughton

Name: Box #: In the questions below convert the system to matrix form. Then reduce to echelon form using only the following:

  • switch two rows if forced
  • subtract multiple of a higher row from a lower row.

After that solve the system using back substitution. Determine whether the system is over or under-determined, consistent or in- consistent

2 x + 3y + 4z = 2 2 x + 4y + 5z = 5 5 x + 6y + 7z = 1

2 x + 3y + 4z = 2 2 x + 4y + 5z = 5 4 x + 6y + 7z = 1 5 x + 6y + 7z = 1

2 x + 3y + 4z = 2 2 x + 4y + 5z = 5

  1. Find a general formula for the positive powers of the following matrices.

• A =

[

]

• A =

[

]

• A =

[

]

• A =

[

]

• A =