- 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 64 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* b
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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. 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.
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