Answer these asap. According to the requirements given.

3) Given the following 3 x4 linear system. 2341391 x2 [A]x=10 1 0 =3=b 2221x3 2 3'4 a) Find the reduced row echelon form, [R], of matrix [A]. Show all elimination steps for full credit. b) Find the elimination matrix, [E], such that [E] [A]=[R]. Show all elimination matrices for full credit. c) Find the dimension and basis of the four subspaces of the linear system, 8(A), AKA), 6(AT) and JV(AT). d) Find the complete solution for 3:. Describe the complete solution geometrically. e) Are there 0, l or oo-many solutions? Is matrix [A] full rank, full row rank, full colunm rank, or neither? f) What are the vector spaces and subspaces that x and b belong to? 5) Answer the following questions for the set of 4 vectors. 1210 2 311 1'2'0'2 2 210 a) What vector space do these vectors belong to? b) Are these vectors linearly independent? Explain with pivots. c) What vector space or subspace do these vectors span (give dimension and explain geometrically)? d) What is the basis of that vector space or subspace? e) Can vector b = [1 1 1 1]T be written as a linear combination of the set ofvectors? Explain with pivots