Linear Algebra Quiz
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LINEAR TRANSFORMATIONS
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Let V=M2×2V = M_{2 \times 2} be the vector space of 2×22 \times 2 real matrices. Consider the linear transformation L:V→RL: V \to \mathbb{R} defined by L(A)=tr(A)L(A) = \text{tr}(A), where the trace is the sum of the main diagonal elements. What is the range of LL?
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