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Mnxn (R). Find the dimension of a subspace W = {A E V | tr(A) = 0}, where the trace tr(A) is defined as

Problem 3. Let \( V=M_{n \times n}(\mathbb{R}) \). Find the dimension of a subspace \[ W=\{A \in V \mid \operatorname{tr}(A)=

Mnxn (R). Find the dimension of a subspace W = {A E V | tr(A) = 0}, where the trace tr(A) is defined as the sum of diagonal entries of A. (You don't have to show that W is a subspace of V.) Problem 3. Let V =

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