Solved: Let M2×2 be the vector space of all 2 × 2
Chapter 4, Problem 33E(choose chapter or problem)
Let M2×2 be the vector space of all 2 × 2 matrices, and define a. Show that T is a linear transformation.b. Let B be any element of M2×2 such that BT = B. Find an A in M2×2 such that T (A) = B.c. Show that the range of T is the set of B in M2×2 with the property that BT = B.d. Describe the kernel of T .
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