For the given matrix A. ind k such that Nul A is a subspace of gk and find m suc
ID: 3138701 • Letter: F
Question
For the given matrix A. ind k such that Nul A is a subspace of gk and find m such that Col A is a subspace of m 1 -2 15) A-4 5 -1 5 Find a basis for the column space of the matrix. 16) Let A-1-1-3-7-1 31and B-E 1-3 -7 -2 0 and B-0 1 0 1 3 0 0 5 -3 -5 16) 2-9-5 1 Lo 0 0 00 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A A) B) D) Determine whether the set of vectors is a basis for R3 17) Given the set of vectorso1decide which of the following statements is true: maven the set of vectors{EIER A: Set is linearly independent and spans x3 Set is a basis for 3. B: Set is linearly independent but does not span 3. Set is not a basis for R3 C: Set spans R3 but is not linearly independent. Set is not a basis for R3 D. Set is not linearly independent and does not span R3 Set is not a basis for 23 A)D B) A C)c D) B 18) Given the set of vectors01decide which of the following statements is true: 18) A: Set is linearly independent and spans R3. Set is a basis for B.: Set is linearly independent but does not span s3 Set is not a basis for C Set spans x but is not linearly independent. Set is not a basis for D: Set is not linearly independent and does not span R3.Set is not a basis for R A) C B) D C) B D) AExplanation / Answer
15) Option D is correct.
16) Option A is correct.
17) Option B is correct.
18) Option C is correct.