Answer Happy

Posted: **Sat Feb 26, 2022 10:58 am**

: 1 Let V W Be Finite Dimensional Vector Spaces Over A Field F And T V W Be A Linear Transformation Let Tt W V B 1 (43.85 KiB) Viewed 57 times

1. Let V, W be finite dimensional vector spaces over a field F and T:V + W be a linear transformation. Let Tt: W* + V* be the dual (transpose) of T. Show that (a) T is injective if and only if Tt is surjective. (b) T is surjective if and only if Tt is injective.