b) is wrong Use the fact that matrices A and B are row-equivalent. 1 3 -5...
1 1 Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 3 -51 5 A= -5-9 13 7-67 7-13 5 -3 1 0 1 0 1 0 1 -2 0 B = 3 0 0 0 1-5 0 0 0 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A. It (c) Find a basis for the row space of A. lll III...
Use the fact that matrices A and B are row-equivalent. A = 1 2 1 0 0 2 5 1 1 0 3 7 2 2 -2 10 23 7 -2 10 1 0 3 0-4 0 1 -1 0 2 0 0 0 1 -2 0 0 0 0 0 B = (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A. (c) Find a basis for the row space...
Use the fact that matrices A and B are row-equivalent. 1 2 1 0 0 2 5 1 1 0 3 7 2 2 -2 5 11 4-1 4 1 0 30-4 0 1 -1 0 BE 2 0 0 0 1 -2 0 0 0 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A. III 100- DUL...
13. 0.19/1.33 points Previous Answers LARLINALG8 4.6.041. Use the fact that matrices A and B are row-equivalent. [ 1 2 1 0 0 2 5 1 1 0 3 7 2 2 - 2 5 11 4 -3 8 1 0 3 0 -4 0 1 -1 0 2 Loo 01 - Loo 0 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A. (c) Find a basis for...
Suppose that 4 3 -225 3 3 -3 2 6 -2 -2 2-1 5 In the following questions you may use the fact that the matrix B is row-equivalent to A, where 1 0 1 0 1 0 1 -2 0 5 0 0 01 3 (a) Find: the rank of A the dimension of the nullspace of A (b) Find a basis for the nullspace of A. Enter each vector in the form [x1, x2, ...]; and enter your...
1. The matrices A and C are row equivalent. Find the elementary matrices such that C = E,E,E,A. 3 2 1 -4 -6 0 1 7 2 1 2 1 0 5 3 0 2 -2 5 9 6 -3 6 3 3 2 1 -4
Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. 1 3 -5 -7 2 1 3 -5 - 7 N -2 -6 12 16 -9 0 0 1 1-5 A= B = 2 6 -16 - 20 34 0 0 0 0 5 -3 -9 6 12 0 0 0 0 0 0 rank A= dim Nul A= A...
Question 3 please answer clearly. A matrix A and its reduced row echelon form are given as follows: [ 2 1 3 41 | 1 2 0 2 A= 3 21 12 | 3 -1 7 9 18 7 9 -4 and rref(A) = [ 1 0 201 0 1 -1 0 0 0 0 1 0 0 0 0 | 0 0 0 0 Use this information to answer the following questions. (a) Is the column vector u= in...
Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A Row A and Nul A 1 N A= 2 -5 2 - 2 - 4 - 1 7 -23 -3 -6 -8 17 4 3 6 10 - 19 0 B= [122-5 2 0 0 1 -1 -5 000 0 - 4 000 0 0 rank A= dim Nul A A basis for Col Ais...
0 -3 -6 4 9 [10 2 0 -1] -1 -2 -1 3 1 0 1 -1 0 -2 12. Given A and B = -2 -3 0 3 -1 0 0 0 1 4 5 -9 0 0 0 0 0 (a) (4 points) Find a basis for the column space of A. ܗ ܬ ܚ ܝ with A row equivalent to B. (b) (4 points) Find a basis for the nullspace of A. (c) (2 points) nullity (A)=