1. (A) What is a tank of a matrix (B) Find the rank of the matrix...

 

Transcribed Image Text:

1. (A) What is a tank of a matrix (B) Find the rank of the matrix below and a basis for the now spe 3624 1212-2 13342 0002 61000 00100 10010 300 00 2. (A) Let 'be a vector space, and S-[ws) What is Span) (Give any equivalent definition)? (B) Let S-((1,2,3,1,-2), (2, 2, 6, 1,4), (1, 3, 3-2-2 (1-1.1.4-2.0.1,-1,-1R Find a basis for the subspace of R' spanned by S (3) (A) Define Null space, mullity (B) Let A be an mon matrix. What is the relation of Rank, Nullity of A and the dimension of A (C) In the following, find a basis of the solution space of Ax 0 What are the Rank and Nullity? Check your relation in (B) (1)4- 1. (A) What is a tank of a matrix (B) Find the rank of the matrix below and a basis for the now spe 3624 1212-2 13342 0002 61000 00100 10010 300 00 2. (A) Let 'be a vector space, and S-[ws) What is Span) (Give any equivalent definition)? (B) Let S-((1,2,3,1,-2), (2, 2, 6, 1,4), (1, 3, 3-2-2 (1-1.1.4-2.0.1,-1,-1R Find a basis for the subspace of R' spanned by S (3) (A) Define Null space, mullity (B) Let A be an mon matrix. What is the relation of Rank, Nullity of A and the dimension of A (C) In the following, find a basis of the solution space of Ax 0 What are the Rank and Nullity? Check your relation in (B) (1)4-