Recent questions tagged cmi2018-datascience

2 votes
1 answer
1
If $P$ is an invertible matrix and $A=PBP^{-1},$ then which of the following statements are necessarily true?$B=P^{-1}AP$$|A|=|B|$$A$ is invertible if and only if $B$ is ...
0 votes
3 answers
2
Let $A=\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}, B=\begin{bmatrix} 1 & 4 & 7 \\ 2 & 5 & 8 \\ 3 & 6 & 9 \end{bmatrix}, C=\begin{bmatrix} 4 & 5 & 6...
2 votes
2 answers
3
Let $x=\begin{bmatrix} 3& 1 & 2 \end{bmatrix}$. Which of the following statements are true?$x^Tx$ is a $3\times 3$ matrix$xx^T$ is a $3\times 3$ matrix$xx^T$ is a $1\time...