Chapter 1 – Quiz 1

1. Which components are needed to define a vector space?


2. Compute the scalar product \begin{pmatrix} 2\\4\\0\\3\end{pmatrix} \cdot \begin{pmatrix} -3\\2\\10\\2\end{pmatrix}. (Write down only the result as a number; do not use spaces, letters, etc.)

3. Select all vectors that are elements of \mathbb N^2 \times \mathbb R. (Multiple choice)


4. Select all answers where the given vectors are linearly independent. (Multiple choice)


5. What ich object is equal to this expression: \begin{pmatrix}1\\4\end{pmatrix} + 3 \cdot \begin{pmatrix}-2\\5\end{pmatrix}?


Question 1 of 5

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