Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. find the kernel (or nullspace) and the image of ea

Find the kernel (or nullspace) and the image of each linear map together with their basis. (a)...

90.2K

Verified Solution

Question

Advance Math

Find the kernel (or nullspace) and the image of each linear maptogether with their basis.

(a) T :R4 ?R3 given by f(x,y,z,w)=(3x+y?3z+3w , x+y+z+w ,2x+y?z+2w)

(b) T :R3 ?R5 given by f(x,y,z)=(2x?y+6z , x?y?z , x+y?5z , z?y, ?x+2z)

c) T :R4 ?R3 given by f(x,y,z,w)=(x?y?3z+w , 2x?3y+z+2w ,3x+y?4z?w)

Answer & Explanation Solved by verified expert
3.6 Ratings (625 Votes)
    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

Chemistry
1.2K views

A) A 193.0 L sample of gas of the upper atmosphere at a pressure of 4.8...

Chemistry
1.2K views

Consider the equation: 3CuO(s)+2NH3(g)--->N2(g)+3Cu(s)+3H2O(l) How many moles of nitrogen gas could be made from: a) 5.00 Mol CuO...

Biology
1.2K views

Cutting down a rain forest and planting agricultural crops, such as coffee plants, would most...

Physics
1.2K views

coil of inductance 0 2H and 192 resistance is connected to 90V source At what...

Physics
1.2K views

A tuning fork vibrates at a frequency of 264 Hz, and the tip of each...

Statistics
1.2K views

An airline is trying two new boarding procedures Option 1 and Option 2 to load...

Statistics
1.2K views

Determine whether the following statement is true or false Explain A simple random sample is...

Calculus
1.2K views

11 What are the extremes of y 3sin x 3 a b 2 3 and...

Calculus
1.2K views

Differentiate the function g x g x 1 x x x

Accounting
1.2K views

explain why answer is 720000 and 650000 Lowes sells merchandise to...

Accounting
1.2K views

Feedback Check My Work Taxpayers are allowed to deduct the greater of itemized deductions or...

Accounting
1.2K views

Fleming Sign Company uses the allowance method in accounting for uncollectible accounts. Past experience indicates...