Question

2 1 -2 3 0 1 4 2 1. Let B -3 0 3 ( 1) 2 2 -1 0 (a) Find det(B).(Show all work.) -3 -R2- .A 4 O0-2/2 1-3 0 3 入ス-1 0 I-2 3 det
0 0
Add a comment Improve this question Transcribed image text
Answer #1

-2 3 2 1 4 2 1 (1)Given B 1 -3 0 3 -1 0 2 2 (a)Find det (B) 2 1 -2 3 4 det (B) 2 0 1 1-3 0 3 2 2 -1 4 0 4 2 4 2 2 0 1 1 H:H:{

Add a comment
Know the answer?
Add Answer to:
2 1 -2 3 0 1 4 2 1. Let B -3 0 3 ( 1)...
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
  • 4. Let A and B be 4 x 4 matrices. Suppose det A = 4 and...

    4. Let A and B be 4 x 4 matrices. Suppose det A = 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det (A?)? (d) (4 points) What is det(A-?)? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of AT are linearly independent. and 2 6. (6 points) Let...

  • Let A be the matrix To 1 0] A= -4 4 0 1-2 0 1 (a)...

    Let A be the matrix To 1 0] A= -4 4 0 1-2 0 1 (a) Find the eigenvalues and eigenvectors of A. (b) Find the algebraic multiplicity an, and the geometric multiplicity, g, of each eigenvalue. (c) For one of the eigenvalues you should have gi < az. (If not, redo the preceding parts!) Find a generalized eigenvector for this eigenvalue. (d) Verify that the eigenvectors and generalized eigenvectors are all linearly independent. (e) Find a fundamental set of...

  • 4. Let A and B be 4 x 4 matrices. Suppose det A= 4 and det(AB)...

    4. Let A and B be 4 x 4 matrices. Suppose det A= 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det(AT)? (d) (4 points) What is det(A-1)? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of AT are linearly independent. [2] and us 6. (6 points) Let vi...

  • linear algebra 1 0 0 0 1 1 0 0 1. Let A be the 4...

    linear algebra 1 0 0 0 1 1 0 0 1. Let A be the 4 x 4 matrix: A= 1 1 1 0 1 1 1 1 (a) Find A-1 by hand. (b) Let T be defined by T(T) = Aē. Use your answer to (a) to find all vectors T E R4 such that: T(T) = 2 4 -9 0 (c) Which of the following statements are true? (Select all that apply) A. The columns of A form...

  • Matrix Methods/Linear Algebra: Please show all work and justify the answer! 4. Let A and B...

    Matrix Methods/Linear Algebra: Please show all work and justify the answer! 4. Let A and B be 4 x 4 matrices. Suppose det A = 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det(A”)? (d) (4 points) What is det(A-")? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of...

  • 4. Let A and B be 4 x 4 matrices. Suppose det A = 4 and...

    4. Let A and B be 4 x 4 matrices. Suppose det A = 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det(AT)? (d) (4 points) What is det(A-')? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of A™ are linearly independent. and t = [ ] 6. (6...

  • Select True or False. No work is required. Let A= [o 1 2 0 4 and...

    Select True or False. No work is required. Let A= [o 1 2 0 4 and y = [6 3]. lil 1. True or False: The Eigenvalues of A are -1 and 4. 3 2. True or False: is an Eigenvector of A. 1 3. True or False: The columns of A are linearly independent. 4. True or False: The columns of A form a basis for R2. 5. True or False: The rank of A is 3. 6. True...

  • Let A be an 3 x 4 matrix, and B an 4 x 3 matrix. Prove: If AB Is, then the columns of B are linearly independent. Let A be an 3 x 4 matrix, and B an 4 x 3 matrix. Prove: If AB Is, then the c...

    Let A be an 3 x 4 matrix, and B an 4 x 3 matrix. Prove: If AB Is, then the columns of B are linearly independent. Let A be an 3 x 4 matrix, and B an 4 x 3 matrix. Prove: If AB Is, then the columns of B are linearly independent.

  • Let A = 4 0 0 2 1 2 1 2 1 (a)(4 marks) Find the...

    Let A = 4 0 0 2 1 2 1 2 1 (a)(4 marks) Find the eigenvalues of A. (b)(2 marks) Explain without any more calculations that A is diagonalisable. ((7 marks) Find three linearly independent eigenvectors of the matrix A. (d)(2 marks) Write an invertible matrix P such that -100 P-AP=0 40 0 0 3

  • 4 (1) Find a matrix A „such that (A - 41)-1 3 1 (2) Let A...

    4 (1) Find a matrix A „such that (A - 41)-1 3 1 (2) Let A be 3x3 matrix with 4 = 4 Find : (a) det(( 3 A)?(2 A)-') (b) det( 2 A-' + 3 adj (A)) (3)Find the values of a that makes the system has (a) unique solution (b) No Solution. 3 A 7 (4)Find the rank of a matrix 17 0 1 2 (5)Suppose that I : R3 → R2 „such that 2 T (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
ADVERTISEMENT