HomeworkLib
Question

Problem 2: For each of the matrices below, 1) find a value of k such that Nul(A) is a subspace of Rk, 2) find a nonzero vecto

math   algebra   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

we have ។ 0 A= -2 0 -5 -5 7 0 -S 7 -2 Apply now operations we get -217 0 R, IR 0 -5 -2 21 -5 7 7 -2 -2/4 -411 R1 R₂ + 2R RytO 5/2 3574 0 Ryt Rythy 11 Rg 14 Rs 203 I 2 0 0 0 0 0 O R; 4 R - 50 Rz Beth 35 2 N - 0 0 0 0 0 0 0 2 muf(A)1) since number of columi un A :کلمه کیک في معممططهمشيميلسى یک = X هكليN (2 -Ax= م = 0 و 0 ره وه - 0 0 0 ہ ہ متيميوعملالبومهhen [ Alv] -2 O 5 -2 -5 o -7 0 7 2 HPL -5 ។ 0 0 6 0 1 0 0 0 1 0 0 0 This systemo has a unique solutóp. so visuin WLA). b) we0 2 0 0 -2 1) Number of then Nuta) ui a eusspace og RS 165 Fox Nulla) AX=0 1 0 O 212 O -2 2 0 23 O Hy Lii get 2 + 273 - 130_12 E Nul(AL o re & 2 Number of course ser collal is a seusabace of akz2 R² 4 VE 11 FEY Ax= v LAIV] 6 4 5 4 4 - 0 - - 0 2 - 0 2

0 0
Add a comment
Know the answer?
Add Answer to:
Problem 2: For each of the matrices below, 1) find a value of k such that...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • [ 2 4 -2 11 4. (20pts) Consider a matrix A = 3 7 -8 6...

    [ 2 4 -2 11 4. (20pts) Consider a matrix A = 3 7 -8 6 and corresponding Col A & Nul A. -2 -5 7 3 Col A is a subspace of Rk and Nul A is a subspace of R'. |(1) Find k and one nonzero-vector in Col A. | (2) Find 1 and one nonzero-vector in Nul A.

  • For the matrix A below, find a nonzero vector in Nul A and a nonzero vector...

    For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A 1 2 3 0 A 14 -3 A nonzero vector in Nul A is (Type an integer or decimal for each matrix element.) A nonzero vector in Col A is (Type an integer or decimal for each matrix element.) .

  • For the matrix A below, find a nonzero vector in Nul A and a nonzero vector...

    For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. 2 3 8-11 A=1-6-6-12 18 4 -3 -20 23 A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A 1 2 02 A=177-21 351~1013-3 3 4 -6 12 3 3 -9 15

  • 1 1. The matrix A and it reduced echelon form B are given below. 1 -2...

    1 1. The matrix A and it reduced echelon form B are given below. 1 -2 9 5 4 1 0 3 0 0 -1 6 5 -3 0 1 -3 0 -7 A= ~B= -2 0 -6 1 -2 0 0 1 -2 4 9 1 -9 0 0 0 0 0 (a) Find p, q, r s.t Nul A, Col A, Row A is a subspace of RP, R9, R”, respectively o 1 Answer. p = a =...

  • 4 1 1. The matrix A and it reduced echelon form B are given below. 1-2...

    4 1 1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 10 3 0 0 1 -1 6 5 3 0 1 -3 0 -7 -2 0 -6 1 -2 0 0 0 1 -2 9 1-9 0 0 0 0 0 (a) Find p, q, r s t Nul A, Col A, Row A is a subspace of RP, R9, R', respectively Answer. p = 9= (b) Find a basis for Nul...

  • 4 1 1. The matrix A and it reduced echelon form B are given below. 1-2...

    4 1 1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 10 3 0 0 1 -1 6 5 3 0 1 -3 0 -7 -2 0 -6 1 -2 0 0 0 1 -2 91-9 0 0 0 0 0 (a) Find p, q, rs. Nul A, Col A, Row A is a subspace of R", R9, R', respectively Answer. p = 9=- (b) Find a basis for Nul A (c) Find...

  • 1. The matrix A and it reduced echelon form B are given below. 1-2 95 4...

    1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 [1 0 3 0 0 1 -1 6 5 -3 A= 0 1 -3 0 -7 -B= -2 0 -6 1 -2 0 0 0 1 -2 4 9 -9 0 0 0 0 0 (a) Find p, q, rs. Nul A, Col A, Row A is a subspace of R”, R9, R", respectively Answer.p = 9. r = (b) Find a basis for...

  • Page 8 of 9 HW-07 EEL-3120 Problem No. 7.7 10 pts 7 -2 0 -53 A--2...

    Page 8 of 9 HW-07 EEL-3120 Problem No. 7.7 10 pts 7 -2 0 -53 A--2 0 -5 7 3 0 -5 7 22 l) find k such that Nul(A) is a subspace of R 2) find k such that Col(A) is a subspace of R Show all your work, do not skip steps Displaying only answer is not enough to get credit. Solution (Show all intermediate steps, fonnulas, calculations, explanations and comments below this line. Don't write above this...

  • if whoever answers this could be detailed with explanations please! 1 -3 -2 -5 -14 -6-3-8...

    if whoever answers this could be detailed with explanations please! 1 -3 -2 -5 -14 -6-3-8 -21 2 8.(15 pts. total) M= is row equivalent to -2 6 1 4 5 -9 -2-7 -14 + (1-3 0-1 0 0 0 2 7 2 Pivels L 0 0 0 0 0 0 0 0 0 0 (a) Find k and/ so that Nul Mc R and Col Mc R (b) Without calculations, list rank M and dim Nul M. (c) Find...

  • (a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5 6 2 2 3 -1 A=158 O 11 and...

    (a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5 6 2 2 3 -1 A=158 O 11 and B-1084 7 1o-2 3 21 6 (5+5 (b) () For any n x I vector a 0, show that a (ii) Find the g-inverse of the vector a, where a' = [1 a'a 5 2] 3 1 (a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT