Part 1: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated. Find the echelon form of the given matrix. [1 4 -2 31 -3-11 9-5 2 -1 -2 5 Part 2: Determine if the columns of the matrix A = independent. -21 4 40 4 are linearly 4-8-12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hello. Please answer the attached Linear Algebra question and its 2 parts correctly & completely. Please show all of your work for each part. 

*If you answer the question and its 2 parts correctly & show all of your work, I will give you a thumbs up. Thanks. 

 

Part 1:
Use the row reduction algorithm to transform the matrix
into echelon form or reduced echelon form as indicated.
Find the echelon form of the given matrix.
[14-23]
-3-11 9 -5
2 -1 -2 5
* The first number is a 1. Sorry. Please show all of your work and
answer correctly. Thanks.
Part 2:
Determine if the columns of the matrix A =
independent.
-21 4
40 4 are linearly
4-8-12.
* Please show all of your work for both
parts and answer correctly. Thank
you.
Transcribed Image Text:Part 1: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated. Find the echelon form of the given matrix. [14-23] -3-11 9 -5 2 -1 -2 5 * The first number is a 1. Sorry. Please show all of your work and answer correctly. Thanks. Part 2: Determine if the columns of the matrix A = independent. -21 4 40 4 are linearly 4-8-12. * Please show all of your work for both parts and answer correctly. Thank you.
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