Linear algebra confusion: We haven't learned about rank and such: For the following I am looking for...

70.2K

Verified Solution

Question

Advance Math

Linear algebra confusion: We haven't learned about rank andsuch:
For the following I am looking for examples or checking to see whysomething is impossible.
a.) What does it mean when we have an inconsistent 2x3 linearsystem
-What if we reversed it to 3x2? Even put other numbers inplace.
b.) Can a 2x3 linear system have a unique solution
-What if we reversed it to 3x2? Even put other numbers inplace.
c.) Can a 3x2 linear system have infinitely many soluitons
-What if we reversed it to 2x3? Even put other numbers inplace.

We had just one day of class and we didn't discuss: inconsistent,unique, infinitely many solutions.
Where can I also reference to learn about this.

Answer & Explanation Solved by verified expert
4.0 Ratings (680 Votes)
Answera By an inconsistent linearsystem we mean a system of 2 linear equations in 3 variables forwhich there is no solution For examples if we consider thefollowing system of inconsistent linear    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students