Linear Algebra Answers

consider matrix A=[101 212 313 111] find the nullity and rank

consider the subspace of W={a,b,a+b)|a,b ER}. Basis for W is, write out te definition for W^T and find a basi B for W^T

let A be a 7*5 matrix with rank(A)=2 complete dim(row space of A) , dim( column space of A) ,dim (null space of A) and (null space of A^t)

Let T:U→V be a linear transformation. Let 0_u and 0_v be zero vectors of U and V. Show that T(0_U )=0_V

Let  be a linear transformation. Let  and  be zero vectors of  and. Show that

 Use row reduction to determine whether the set of vectors {(1,2,0), (0,1,-1),(1,1,2)} is linearly independent in                                                                 

Show that if A_(n×n) is invertible then the inverse is unique

Use the Gauss-Jordan Elimination method to solve the system of linear equations.

xa + 3xb + xc = 4

2xa + 2xb + xc = -1

2xa + 3xb + xc = 3