Question: Reference: MATH 226 HW 6 Question 1 a) Let U, V be a vector spaces over F, and T : U V . Show that

Reference: MATH 226 HW 6 Question 1

a) Let U, V be a vector spaces over F, and T : U V . Show that if T-1 exist then T-1 is a linear operator.

b) Show that any isomorphism from R2 to R2 has the form of T(x,y) = (ax + by, cx + dy); adbc 0

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