Take each matrix to represent h: Rm †’ Rn with respect to the standard bases. For each (i) state m and n. Then set up an augmented matrix with the given matrix on the left and a vector representing a range space element on the right(e.g., if the codomain is R3 then in the right-hand column put the three entries a, b, and c). Perform Gauss-Jordan reduction. Use that to (ii) find R(h) and rank(h) (and state whether the underlying map is onto), and (iii) find N (h) and nullity(h) (and state whether the underlying map is one-to-one).
(a)

(b)

(c)

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