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Problem 2: For each of the matrices below, 1) find a value of k such that Nul(A) is a subspace of Rk, 2) find a nonzero vector in Nul(A), 3) find a (possibly different) value of k such that Col(A) is a subspace of Rk, and 4) find a nonzero vector in Col(A). 7 -2 (a) -2 0 -5 -5 -5 7 -2 (b) 14 5 -2 6 0 1 1 0 1 0 ܗ ܗ
For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. 2 3 8-11 A=1-6-6-12 18 4 -3 -20 23 A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A 1 2 02 A=177-21 351~1013-3 3 4 -6 12 3 3 -9 15
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...
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...
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...
Consider the matrix Find a nonzero vector in Nul A and a nonzero vector in Col A.
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...
For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A 1 2 3 0 A 14 -3 A nonzero vector in Nul A is (Type an integer or decimal for each matrix element.) A nonzero vector in Col A is (Type an integer or decimal for each matrix element.) .
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 =...
1-3 42 5 4 2 -6 9 8 . find bases 2 6 9-1 9 7 *6. Given A- find bases for nul A and col A -1 3 -4 25 -4 Express your answers in parametric vector form. 16 points