linear algebra question

Question

Question

A=

−8 8 -8 1 -9

7 -7 7 4 3

6 -9 4 9 4

5 -5 5 6 -1

−7 7 -7 -7 0

The reduced row echelon form of is

Linear-Algebra

Answer 1

Similar Homework Help Questions

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 =...
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...
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...

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...
Hi! I really need help with this entire sheet as it's for a take home grade... please type or wri...

Hi! I really need help with this entire sheet as it's for a take home grade... please type or write neatly in depth answer/explanation. Thanks! 5 20-4 -1313 4 16 -5-5 8 1 4-3 44 1 4 0 -5 0 0 01-3 0 Consider the matrix A = whose reduced echelon form is L0 00 00 Col A is a subspace of IRe for 2-.. . o dim Nul A- rank A dim Col A-.. A basis for Nul A...
1. Consider the following Linear transformation L : R5 + R5 represented in the standard basis...

1. Consider the following Linear transformation L : R5 + R5 represented in the standard basis via the following matrix: 1 7 4 1 A= 2 4 6 9 -4 0 3 4 3 3 6 12 0 1 9 8 7 9 -2 0 2 (a) Find a basis for Null(A), Col(A), and Row(A). (b) For each v in your basis for Col(A) find a vector u ER5 do that Au = v. (c) Show that the vectors you...

Math 2890 QZ-6 SP 2018 1) Find the rank of the following matrix. Also find a...

Math 2890 QZ-6 SP 2018 1) Find the rank of the following matrix. Also find a basis for the row and column spaces. 1 0 3 3 10 0 -1 2 Find a basis of Null(A) where A is the given matrix. Find the rank of A and dimension of Nul(A). Let B be an invertible 4X4 matrix (a matrix with 4 rows and 4 columns). Is the matrix AATB also invertible? Explain.
b) fina rank A and basis for col A c) find basis for Nul A Ti...

b) fina rank A and basis for col A c) find basis for Nul A Ti 2017 Let A = 2 3 1 1 3 5 1 2 Find the reduced row echelon form of A.
1 2 0 1 10. Let A = 2 3 1 1 3 5 1 2...

1 2 0 1 10. Let A = 2 3 1 1 3 5 1 2 (a). Find the reduced row echelon form of A. (b). Using the answer for (a), find rank(A), and find a basis for Col(A). (c). Using the answer for (a), find a basis for Nul(A).

Question 3. (20 pts) Let A= -3 9-27 2 -6 4 8 3 -9 -2 2...

Question 3. (20 pts) Let A= -3 9-27 2 -6 4 8 3 -9 -2 2 Find a basis for Col(A) and a basis for Nul(A). Question 4. (15 pts) Let the matrix A be the same as in Question 3. (1). Find the rank of A. (2). Find the dimensions of Nul(A) and Col(A). (3). How do the dimensions of Nul(A) and Col(A) relate to the number of columns of A?