Chapter 2 – Quiz 1

1. If A\in\mathbb R^{4\times 3} and B\in\mathbb R^{4\times 9}, what is the dimension of B'A?

 
 
 
 

2. Which statements about matrix characteristics and calculus are true? (Multiple choice)

 
 
 
 
 
 

3. Which statements about matrix characteristics are true? (Multiple choice)

 
 
 
 
 
 

4. Which property of “regular” (i.e., real number) multiplication does generally not transfer to matrix multiplication (a, b, c\in\mathbb R)? (Single choice)

 
 
 
 

5. What do you obtain from multiplying out v'A'Bv when v = \begin{pmatrix} 2\\-1\end{pmatrix}, A = \begin{pmatrix} 4 &1 \\0 & 2\\-1 & 0\end{pmatrix} and B = \begin{pmatrix} 1 &2 \\-3 & 4\\5 & -6\end{pmatrix}? (Write down the result as a number, do not use letters, spaces, punctuation, etc.)


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