Let V denote the vector space of 2 2 symmetric matrices and define T : V P2(R) by T a b
Chapter 6, Problem 20(choose chapter or problem)
Let V denote the vector space of 2 2 symmetric matrices and define T : V P2(R) by T a b b c = ax2 + bx + c. Determine whether T is one-to-one, onto, both, or neither. Find T 1 or explain why it does not exist.
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