Math & Data Science Q&A - Get answers from our AI that are verified by human experts
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

MathsGee Android Q&A


0 like 0 dislike
225 views
Say you have \(k\) linear algebraic equations in \(n\) variables; in matrix form we write \(A X=Y\). Give a proof or counterexample for each of the following.

a) If \(n=k\) there is always at most one solution.
b) If \(n>k\) you can always solve \(A X=Y\).
c) If \(n>k\) the nullspace of \(A\) has dimension greater than zero.
d) If \(n<k\) then for some \(Y\) there is no solution of \(A X=Y\).
e) If \(n<k\) the only solution of \(A X=0\) is \(X=0\).
in Mathematics by Platinum (164,236 points) | 225 views

Related questions

0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
asked Jul 24, 2021 in Mathematics by MathsGee Platinum (164,236 points) | 184 views
0 like 0 dislike
1 answer
0 like 0 dislike
0 answers
asked Oct 26, 2022 in Mathematics by MathsGee Platinum (164,236 points) | 18 views

Join MathsGee and get expert-verified answers to your maths and data science questions fast. We use a combination of generative AI and human experts to provide you the best answers to your questions. Ask a question now!


On the MathsGee, you can:


1. Ask and answer questions


2. Get expert-verified answers


3. Vote on questions and answers


4. Tip your favorite community members


5. Join expert live video sessions (Paid/Free)


6. Earn points by participating


7. Start a Fundraiser



Posting on MathsGee


1. Remember the human


2. Act like you would in real life


3. Find original source of content


4. Check for duplicates before publishing


5. Read the community guidelines




MathsGee Rules


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.




MathsGee Android Q&A

MathsGee Android Q&A