5. Prove that the following two matrices are not row-equivalent: r2007 rii 27 a -1 0...
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...
1. Find the row echelon form for each of the following matrices: 2 -3 -27 (a) 2 1 1 [ 221] 1 - 2 -4 1] 1 3 7 2 2 1 -12 -11 -16 5 To 1 37 1-30 2 -6 2 Lo 14
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...
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
Q5. Assume that the following two matrices are row equivalent: A= -2 4 -2 4 2 -6 -3 -3 8 2 -3 1 B= 1 0 6 - 7 0 2 5 - 5 0 0 0 -4 Find bases for the column space and null space of A.
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...
For problems 1-4, let A and B be the matrices (6 0 1 27 13 0 /1 0 0 5 10 A= 5 0 1 22 12 0,B=001 -3 7 0 4 0 2 14 18 0 0 0 0 0 0 0 You may take for granted that A and B are row equivalent. 1. Which columns of A are a basis for col(A)? A. a, a, a, a, B. a, a, a, as C. a, a, a, D....
b) is wrong Use the fact that matrices A and B are row-equivalent. 1 3 -5 1 5 1 5 -9 5-9 1 7 -13 5 -3 1 0 1 0 1 0 1 -2 0 3 0 0 0 1 -5 (a) Find the rank and nullity of A. rank nullity 2 3 (b) Find a basis for the nullspace of A -1 2 0
Please justify answer Determine which of the following matrices is row equivalent to Z and indicate the specific row operations need to produce the new matrix from Z. 1 2 Z= 3 4 -1 5 1 2 9 12 1 9 -1 0 0 1 2 2 4 3 6
1. Each of the following matrices is in reduced row echelon form. Write the solution for each. (1000 a. o 100 Loo 011 oo 581 b. 010- 32 Lool 61-7 (1 20 4 097 c. 0 0 1 -3 0 12 Loooo 115 2. State whether or not each matrix is in reduced echelon form. If a matrix is not in reduced echelon form, explain why it is not. a [1 0 0 0 87 0 1 2 0 2...