摘要：We consider $det(A\otimes B)$. Notice that $det(A\otimes B)=det(A\otimes II\otimes B)=det(A\otimes I)det(I\otimes B)$. Hence we have $det(A\otimes B)= 阅读全文

摘要：Proposition (The orthogonal complement of a column space). Let A be a matrix and let $W=\operatorname{Col}(A)$. Then $$ W^{\perp}=\operatorname{Nul}\l 阅读全文

摘要：Norm Norm for vectors \[ \begin{aligned} &\|x\| \geq 0 \\ &\|x\|=0 \text { if and only if } x=0 \\ &\|c x\|=|c|\|x\| \\ &\|x+y\| \leq\|x\|+\|y\| \end{ 阅读全文