Ask - Learn - Connect - Earn - Fundraise
First time here? Checkout the FAQs!
x

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

Let \(A\) and \(B\) be \(n \times n\) matrices.

SubjeX | Startup Funding | GRE & GMAT | Start a Fundraiser | Request an Expert


MathsGee Android Q&A

0 like 0 dislike
64 views
Let \(A\) and \(B\) be \(n \times n\) matrices.
a) Show that the \(\operatorname{rank}(A B) \leq \operatorname{rank}(A)\). Give an example where strict inequality can occur.
b) Show that \(\operatorname{dim}(\operatorname{ker} A B) \geq \operatorname{dim}(\operatorname{ker} A)\). Give an example where strict inequality can occur.
in Mathematics by ♦ Platinum (131,840 points) | 64 views

Related questions

0 like 0 dislike
0 answers
Let \(A, B\), and \(C\) be \(n \times n\) matrices.
asked Jan 21 in Mathematics by ♦MathsGee Platinum (131,840 points) | 212 views

Join the MathsGee Learning Club where you get study and financial support for success from our community. CONNECT - LEARN - FUNDRAISE


On the MathsGee Learning Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Start a Fundraiser


5. Tip your favourite community member(s)


6. Create Live Video Tutorials (Paid/Free)


7. Join Live Video Tutorials (Paid/Free)


8. Earn points for participating



Posting on the MathsGee Learning Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




CLUB RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


Subjects

Most popular tags

MathsGee Android Q&A