A is an m x n matrix. Check the true statements below: A. Col(A) is the set of all vectors that can be written as Az for some z. B. If the equation Az = b is consistent, then Col(A) is Rm. C. The column space of A is the range of the mapping z + Az. D. The null space of A is the solution set of the equation Az = 0. OE. The null space of an m xn matrix is in R". F. The kernel of a linear transformation is a vector space.

1. Determine if these vectors are linearly independent or linearly dependent. If they are linearly independent show this. If they are linearly dependent, write a nontrivial linear combination (at least some coefficients need to be nonzero) of them being equal to 0. {4.0-6)}

Use determinant to decide if the following vectors are linearly independent: -8 7 -4 -6 7 -5