Initial Post Prompt Let 5 0 3 Include the following in your initial post: Justify all of your reasoning using theorems and calculations: 1. Find the nullspace, colspace and rowspace of A 2. Give a geometric description of the nullspace, colspace and rowspace of A 3. Confirm the Rank-Nullity theorem 4. Find a basis for the column vectors of A
Initial Post Prompt Let 5 0 3 Include the following in your initial post: Justify all of your reasoning using theorems and calculations: 1. Find the nullspace, colspace and rowspace of A 2. Give a geometric description of the nullspace, colspace and rowspace of A 3. Confirm the Rank-Nullity theorem 4. Find a basis for the column vectors of A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Show every step you do and explain everthing on the picture, Aswer everything from the picture. POST PICTURES OF YOUR WORK! THANK YOU
Transcribed Image Text:Initial Post Prompt
Let
A=
[1 2
3
2629
1
5 10
GAWA
3547
-1
-3
-1 -1
2
0
Include the following in your initial post:
Justify all of your reasoning using theorems and calculations:
1. Find the nullspace, colspace and rowspace of A
2. Give a geometric description of the nullspace, colspace and rowspace of A
3. Confirm the Rank-Nullity theorem
4. Find a basis for the column vectors of A
If you need help, here is a link to :Module 7 Help Discussion
To get full credit:
1. All answers must contain good grammar and be in complete sentences.
2. You must copy the questions into your original responses or rephrase the questions in your responses so that we understand what you are
answering.
3. Responses should demonstrate that you have worked on the material and either understand what is being presented or have put clear thought into
where you are having difficulties.
4. A blank response cannot be submitted prior to the initial post.
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the following picture is a comment for the work above, can you please reply the comment by explaing what he is asking for and explaining with math. THank You.
Transcribed Image Text:**Comment by Amir Haffar**
*Time: 2:18 pm*
Hey Rickey, overall great job. One thing I want to note is that you can confirm rank-nullity in different ways. I did it based on the rank(A) + dim(row space) = n. Another way you could have found the value of nullity is by finding the number of non-pivot points or the number of free variables in Ax = 0.
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