A is an m xn matrix.Check the true statements below:A. The column space of A is the range of the mapping z → Aa.B. The null space of A is the solution set of the equation Az = 0.C. The null space of an m x n matrix is in R".%3DD. ColA is the set of all vectors that can be written as Aa for some z.E. The kernel of a linear transformation is a vector space.F. If the equation Ar = bis consistent, then ColA is R".

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A is an m x n matrix. Check the true statements below: A. The column space of A is the range of the mapping z Ar. B. The null space of A is the solution set of the equation Ax = 0. C. The null space of an m xn matrix is in R". D. ColA is the set of all vectors that can be written as Aa for some r. %3D E. The kernel of a linear transformation is a vector space. F. If the equation Az = b is consistent, then ColA is R". %3D