Problem 2: For each of the matrices below, 1) find a value of k such that...
[ 2 4 -2 11 4. (20pts) Consider a matrix A = 3 7 -8 6 and corresponding Col A & Nul A. -2 -5 7 3 Col A is a subspace of Rk and Nul A is a subspace of R'. |(1) Find k and one nonzero-vector in Col A. | (2) Find 1 and one nonzero-vector in Nul A.
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.) .
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
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 =...
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...
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...
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...
Page 8 of 9 HW-07 EEL-3120 Problem No. 7.7 10 pts 7 -2 0 -53 A--2 0 -5 7 3 0 -5 7 22 l) find k such that Nul(A) is a subspace of R 2) find k such that Col(A) is a subspace of R Show all your work, do not skip steps Displaying only answer is not enough to get credit. Solution (Show all intermediate steps, fonnulas, calculations, explanations and comments below this line. Don't write above this...
if whoever answers this could be detailed with explanations please! 1 -3 -2 -5 -14 -6-3-8 -21 2 8.(15 pts. total) M= is row equivalent to -2 6 1 4 5 -9 -2-7 -14 + (1-3 0-1 0 0 0 2 7 2 Pivels L 0 0 0 0 0 0 0 0 0 0 (a) Find k and/ so that Nul Mc R and Col Mc R (b) Without calculations, list rank M and dim Nul M. (c) Find...
(a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5 6 2 2 3 -1 A=158 O 11 and B-1084 7 1o-2 3 21 6 (5+5 (b) () For any n x I vector a 0, show that a (ii) Find the g-inverse of the vector a, where a' = [1 a'a 5 2] 3 1 (a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5...