[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...
Given the matrix A and its reduced row echelon form R, answer the following questions. 4 A 1 0 3 0 3 3 1 1406 1 1 4 1 8 2 1 7 2 13 9 R= 1 0 3 0 3 3 0110 31 000121 1000000 5 Find a basis for the column space of A and the row space of A. Ao Basis for column space of A: with a comma-separated list of vectors enclosed with braces {}....
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...
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 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
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(12 points) Find a basis of the subspace of R that consists of all vectors perpendicular to both El- 1 1 0 and 7 Basis: , then you would enter [1,2,3],[1,1,1] into the answer To enter a basis into WeBWork, place the entries. each vector inside of brackets, and enter a list these vectors, separated by commas. For instance if vour basis is 31 2 and u (12 points) Let...
Given the matrix A and its reduced row echelon form R, answer the following questions. A= 10 20 3 4 1 1 60 7 6 11 6 1 10 10 2 1 8 2 16 18 R= 1 0 2 0 3 4 0 14 0 4 2 000134 000000 Find a basis for the column space of A and the row space of A. Basis for column space of A: with a comma-separated list of vectors enclosed with braces...
(1 point) Let A-0 -2 3 Find a basis of nullspace(A). Answer: 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 21 , then you would enter [1,2,3],11,1,1] into the answer blank.
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1) Given (1 2 3 1 0 11 1 5 2 1 A= -2 -5 -4 -1 1 ( 3 5 11 4 1 Find the basis and dimension for the row, the column spaces, and the null space NA Also, state the rank, the nullity of A 2) The subspace of W in R spanned by vectors u =(2.-2.1) v =(1,2,2) is a plane passing thru the origin. Express the vector w=(1,0.2) in the...
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Given that B = {[1 7 3], [ – 2 –7 – 3), [6 23 10]} is a basis of R' and C = {[1 0 0], [-4 1 -2], [-2 1 - 1]} is another basis for R! find the transition matrix that converts coordinates with respect to base B to coordinates with respect to base C. Preview Find a single matrix for the transformation that is equivalent to doing the following four transformations...