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...
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 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 =...
Consider the matrix A and the reduced row echelon form of A. 1 -2 -5 [1 -2 9 0 4 0 1 3 0 A= 0 3 5 0 -3 3 -3 3 0 0 0 1 Find a basis for Nul A.
2) Given 1 3 4 01 A2 4 -5 4 -3 1 -5 0 3 2 By result of Q1, (a) Verify that both Row(A) and Row(A) are subspaces of R5 (b) Verify that Col(A) is a subspace of , 4. Find the Row(A), Col(A) and Null(A) 1) Find the Row(A), Col(A) and Null(A) 1 3 -4 0 1 A 2 4 5 34 1 -5 0 -3 2 -3 1 8 3 -4 2) Given 1 3-4 0 1...
Consider the following matrix A, and its reduced row-echelon form, B: A = 1 3 -1 2 13 4 2 -4 4 2 2 5 -2 1 21 1 6 -15 28 B = ( row reduced) 1 0 -1 0 -2 0 1 0 0 5 0 0 0 1 0 0 0 0 0 0 (a) Write a basis for Nul(A) (b) Write a basis for Col(A)
Question 3 [10 points] Consider the following matrix A and its reduced row-echelon form: A = [-3 3 6 12 0 151 | 1 -1 -2 -4 0 -5 -6 3 9 15 12 18 rret(A) |-1 -1 0 -2 8 -3 [1 0 -1 -1 -4 -1] 01 1 3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 Find the dimensions of row(A), null(A), and col(A), and give a basis for each of...
Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. 1 3 -5 -7 2 1 3 -5 - 7 N -2 -6 12 16 -9 0 0 1 1-5 A= B = 2 6 -16 - 20 34 0 0 0 0 5 -3 -9 6 12 0 0 0 0 0 0 rank A= dim Nul A= A...
+ Question Details 2 1 , and A = | V1 V2 V3 | . Is p in Nul A? Let v,-| 0 2 Yes, p is in Nul A No, p is not in Nul A 5.+ Question Details 2 2 10 2 1 0 30 0 2 41 4 2 16 3 Let A so that an echelon form of A is given by . Find a basis for Col A 1 0 3 1 0 0 0...