设\( {\bf{A}} \) 为三阶矩阵，\( { { \bf{A}}^*} \)是\( {\bf{A}} \)的伴随矩阵，且\( \left| {\bf{A}} \right| = 1 \)，则\( \left| {2 { { \bf{A}}^{ - 1}} + 3 { { \bf{A}}^*}} \right| = \)______

${\bf P}(X=4)=\,$ ${\bf P}(X=3)=\,$ ${\bf P}(X=2)=\,$ ${\bf P}(X=1)=\,$______

In 1803 the United States purchased Louisiana from _____.

${\rm var}(X)=\,$ ${\bf E}[X]=\,$ ${\bf P}(X=3)=\,$ ${\bf P}(X=-2)=\,$ ${\bf P}(X=1)=\,$ ${\bf P}(X=0)=\,$______

${\bf P}(X=-2)=\,$ ${\bf P}(X=1)=\,$ ${\bf P}(X=0)=\,$______

设${\bf{r}}$是从地心指向卫星质心的矢量，则表达式____总成立。 A: ${\bf{r}} \cdot {\bf{\dot r}} = r \cdot \dot r$ B: $\left| {{\bf{r}} \times {\bf{\dot r}}} \right| = r \cdot \dot r$ C: ${\bf{r}} \cdot {\bf{\ddot r}} = r \cdot \ddot r$ D: $\left| {{\bf{r}} \times {\bf{\ddot r}}} \right| = r \cdot \ddot r$

In 1803, President Jefferson negotiated the purchase of Louisiana from Mexico.

${\bf P}(X=2)=\,$ ${\bf P}(X=1)=\,$______

函数[img=160x31]1803bf5078886e5.png[/img]与[img=160x31]1803bf508647253.png[/img]在[img=14x19]1803bf508f89c83.png[/img]上线性无关．

在运动刚体上爬行的甲虫，其科氏加速度为${{\bf{a}}_c} = 2{\bf{\omega }} \times {{\bf{v}}_r}$，其中${\bf{\omega }}$为刚体角速度，${{\bf{v}}_r}$为甲虫相对刚体的速度。