Question

Construct a nonzero matrix B such that AB is the zero matrix. Explain and justify your process. A= 2 5 -3 -1 0-1 3 2 1

0 0
Add a comment Improve this question Transcribed image text
Answer #1

al a Ler the marrix be, B= such har AB = Now, let us apply elementary now operations on the augmented matrix [A10] to reduce

Add a comment
Know the answer?
Add Answer to:
Construct a nonzero matrix B such that AB is the zero matrix. Explain and justify your...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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
  • 3 - 12 Let A = Construct a 2x2 matrix B such that AB is the...

    3 - 12 Let A = Construct a 2x2 matrix B such that AB is the zero matrix. Use two -4 16 different nonzero columns for B. B=

  • Construct a 3 x 3 matrix A, with nonzero entries, and a vector b in R...

    Construct a 3 x 3 matrix A, with nonzero entries, and a vector b in R such that b is not in the set spanned by the columns of A. Choose the correct answer below. 111 O A. A= 2 2 2 b= 2 (3 4 5] [111] OC. A= 2 2 2 b= (3 3 3] 123] [3 OB. A = 2 1 1 = 2 ( 3 3 2] [1 [111] [4 OD. A = 2 2 2...

  • 4 - 16 strict a 2x2 matrix B such tha Lota = - 4. - 16)....

    4 - 16 strict a 2x2 matrix B such tha Lota = - 4. - 16). Construct a 2 . Construct a 2 x 2 matrix B such that AB is the zero matrix. Use two different nonzero columns for B. -2 81 B=0

  • [ 1 - 2. [20 points] Let A = 2. Construct a 2x2 matrix B (not...

    [ 1 - 2. [20 points] Let A = 2. Construct a 2x2 matrix B (not the zero matrix) such that AB = 0. Show that the found matrix does work. 1-2 6

  • 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.) .

  • 5 points 1. True of False: a. if A is an n x1 matrix and B...

    5 points 1. True of False: a. if A is an n x1 matrix and B is a 1 xn matrix, then AB is an n xn matrix. b. if A is an n x1 matrix and B is a 1 x n matrix, then BA is not defined. 20 points 2. Use the Invertible Matrix Theorem to determine which of the matrices below are invert- ible. Use as few calculations as possible. Justify your answers. [34 01 4 5...

  • Let A = Construct a 4x2 matrix D

    Let A =  Construct a 4x2 matrix D, using only 1 and 0 as entries, such that AD = I2. Is it possible that  CA =I4 for some 4X2 matrix C? Explain. Is it possible that CA = I4 for some 4 x 2 matrix C? Explain. Choose the correct answer below. A. No, because neither C nor A are invertible. When writing lm as the product of two matrices, since lm is invertible, those two matrices will also be invertible. B. Yes, because...

  • 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

  • 2. (10 mk) Let A 0 debe an upper triangular matrix with nonzero entries a, b,...

    2. (10 mk) Let A 0 debe an upper triangular matrix with nonzero entries a, b, c, d, o0 f e, (a) (5 mk) Find the inverse of A. (b) (5 mk) Suppose the columns of A are eigenvectors of a matrix B. Prove that B is also upper triangular.

  • Justify statement 1-4 and explain why. If a matrix A is invertible, then all the eigenvalues...

    Justify statement 1-4 and explain why. If a matrix A is invertible, then all the eigenvalues of A are nonzero. If two linear maps have the same characteristic polynomial, then they always have the same Jordan canonical form. If a linear map from the vector space P of all polynomials to itself is injective, then it is an isomorphism. If W, and W2 are subspaces of a vector space V, then the projection T: W W 2 → W, i.e.,...

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