Question
True or false: The quadratic form $Q(\mathbf{v})=\mathbf{v}^T K \mathbf{v}$ defined by a symmetric $n \times n$ matrix $K$ defines a linear function $Q: \mathbb{R}^n \rightarrow \mathbb{R}$.
Step 1
A function \( f: \mathbb{R}^n \rightarrow \mathbb{R} \) is linear if it satisfies two properties for all vectors \( \mathbf{u}, \mathbf{v} \in \mathbb{R}^n \) and all scalars \( c \in \mathbb{R} \): Show more…
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