Please answer a through f, thanks

0 0 3 0. 1 = 2 : = 4 2 4 5 ) = 04 2 2 3 1 2 1 5 1 5 2 3 2 1 1 = || 9 2 6 3 02 ) ) 5 04 = 7 -3 [a] Prove that the set of vectors {V1, V2,V3,V4} is linearly independent. THE RREF is I [b] Find the determinants of the (sandwich) matrix W=[W1, W2, W3,W4] and the V matrix [V1, V2,V3,V4] [c] Find the matrix of the linear transformation T: R4 R4 such that for i= 1,2,3,4 T(vi)= Wi [d] Find the matrix of the inverse transformation U: R4 R4 such that UT=I TU= [e] Verify that the inverse linear transformation u is 1-1 and ONTO. [f] Find T([1 2 3 4]T) 0 0 3 0. 1 = 2 : = 4 2 4 5 ) = 04 2 2 3 1 2 1 5 1 5 2 3 2 1 1 = || 9 2 6 3 02 ) ) 5 04 = 7 -3 [a] Prove that the set of vectors {V1, V2,V3,V4} is linearly independent. THE RREF is I [b] Find the determinants of the (sandwich) matrix W=[W1, W2, W3,W4] and the V matrix [V1, V2,V3,V4] [c] Find the matrix of the linear transformation T: R4 R4 such that for i= 1,2,3,4 T(vi)= Wi [d] Find the matrix of the inverse transformation U: R4 R4 such that UT=I TU= [e] Verify that the inverse linear transformation u is 1-1 and ONTO. [f] Find T([1 2 3 4]T)