[1 -1 0 0 -2 0] 1 4 -4 0 0 -8 0 (1 point) Let A = 10 0 -1 2 -3 3 . Find a basis for the row space of A, a basis for the column space of A, a basis for the null space 0 0 0 -3 0 -2 Lo 0 1 0 3 3] [1 -1 0 0 -2 01 0 0 1 0 3 0 of A, the rank of A, and the...
Consider the matrix 0 4 8 24 0-3-6 3 18 A-0 24 2 -12 0 -2-3 0 7 0 3 5 [51 [51 a) Find a basis for the row space Row(A) of A (b) Find a basis for the column space Col(A) of A (c) Find a basis space d) Find the rank Rank(A) and the nullity of A (e) Determine if the vector v (1,4,-2,5,2) belongs to the null space of A. - As always,[5 is for the...
(3 points) Let A= [ 1 -2 (1 2 -4 2 0 -4 3 -3 11 2 10 0 -8 (a) Find a basis for the column space of A. Answer: { Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8) (b) What is the dimension of the row space of A? (c) What is the dimension of the solution space of A? where a € R. Find the value...
(1 point) Let A = 2 2 | -4 1-2 6 -3 -3 3 3 -3 0 3 4 7 1 -5 -1 Find a basis of nullspace(A). Answer: [1,0,3/2,0], [0,-3/9,0,1] To enter a basis into WeBWork, place the entries of each vector inside of brackets, and enter a list of these vectors, separated by commas. For instance, if your basis is 12, 1 }, then you would enter [1,2,3],[1,1,1) into the answer blank. U 3 ||1
Problem #10: Let 1 1 4 4] 1 2 5 3 -1 0 6 3 1 6 3 (a) Find the dimension of the row space of A. (b) Find the dimension of the nullspace of A. Problem #10(a): Problem #10(b):
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)=
1 3 -2 -5 2 11 1. Let A= 3 9 -5 -13 6 3 1 -2 -6 8 18 -1 -1 (a) Find a basis for the row space of A, i.e. Row(A). (b) Find a basis for the column space of A, i.e. Col(A). (c) Find a basis for the null space of A, i.e. Null(A). (d) Determine rankA and dim(Null(A)).
Let A 2 3 4 - 1-6 -20 3 6 -9 5 3 -2 7 Find each of the following bases. Be sure to show work as needed. 1 Find a basis for the null space of A. b. Find a basis for the column space of A. c. Find a basis for the row space of A. d. Is [3 2 -4 3) in the row space of A? Explain your reasoning.
|(1 point) Let -2 -4 -4 -4 A = -3 -6 -6 -6 Find a spanning set for the null space of A. 1 N(A) span - 0 0
|(1 point) Let -2 -4 -4 -4 A = -3 -6 -6 -6 Find a spanning set for the null space of A. 1 N(A) span - 0 0
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....