10. This problem addresses the Rank Plus Nullity Theorem. (a) In Matlab, generate an arbitrary matrix A = randn(m,n) for any integers m, n > 1. Next, type R = null(A). The columns of R comprise the basis vector of N(A). Use this fact to confirm the Rank plus Nullity Theorem. Note: Pick m and n such that n- m> 1 to ensure that null(A) has more than one basis vector.] (b) Verify that each of the basis vectors in R is in the null space of A 3 (c) Demonstrate that linear combinations of these basis vectors are also in N(A). 10. This problem addresses the Rank Plus Nullity Theorem. (a) In Matlab, generate an arbitrary matrix A = randn(m,n) for any integers m, n > 1. Next, type R = null(A). The columns of R comprise the basis vector of N(A). Use this fact to confirm the Rank plus Nullity Theorem. Note: Pick m and n such that n- m> 1 to ensure that null(A) has more than one basis vector.] (b) Verify that each of the basis vectors in R is in the null space of A 3 (c) Demonstrate that linear combinations of these basis vectors are also in N(A)