Select all of the statements that are necessarily correct. Assume V is a fnite dimensional vector space and all of the listed elements belong to Va. Let A be an 4* 7 matrix with 4 pivot columns. The nullity of A is is not necessarily 3
b. Let A be an 4* 7 matrix with 4 pivot collumns. The rank of A is is not necessarily 4.
c. If every set of p elements in V fails to span V, then dim V>p.
d. If there exists a Tinearly dependent set v_1,...v_P in V , then dim V≤ p.
e. If there exists a linearly independent set v_1,...,v_p n1 then dim V≥ p.