Cho \[{\rm{A}} = \left[ {\begin{array}{*{20}{c}}1&1\\0&1\end{array}} \right]\left[ {\begin{array}{*{20}{c}}2&0\\0&3\end{array}} \right]\left[ {\begin{array}{*{20}{c}}1&{ - 1}\\0&1\end{array}} \right]\]. Biết \[{\left[ {\begin{array}{*{20}{c}}{\rm{a}}&{\rm{0}}\\{\rm{0}}&{\rm{b}}\end{array}} \right]^{\rm{n}}}{\rm{ = }}\left[ {\begin{array}{*{20}{c}}{{{\rm{a}}^{\rm{n}}}}&{\rm{0}}\\{\rm{0}}&{{{\rm{b}}^{\rm{n}}}}\end{array}} \right]{\rm{(n}} \in {{\rm{N}}^{\rm{ + }}}{\rm{)}}\]. Tính A³?

A. 0

B. 1

C. 2

D. 3

A. \[{{\rm{z}}_{\rm{1}}}{\rm{ = }}{{\rm{e}}^{\frac{{{\rm{i\pi }}}}{{\rm{4}}}}}{\rm{; }}{{\rm{z}}_{\rm{2}}}{\rm{ = }}{{\rm{e}}^{\frac{{{\rm{3i\pi }}}}{{\rm{4}}}}}\]

B. Các câu kia đều sai

C. \[{{\rm{z}}_{\rm{1}}}{\rm{ = }}{{\rm{e}}^{\frac{{ - {\rm{i\pi }}}}{{\rm{4}}}}}{\rm{; }}{{\rm{z}}_{\rm{2}}}{\rm{ = }}{{\rm{e}}^{\frac{{{\rm{3i\pi }}}}{{\rm{4}}}}}\]

D. \[{{\rm{z}}_{\rm{1}}}{\rm{ = }}{{\rm{e}}^{\frac{{ - {\rm{i\pi }}}}{{\rm{4}}}}}{\rm{; }}{{\rm{z}}_{\rm{2}}}{\rm{ = }}{{\rm{e}}^{\frac{{{\rm{5i\pi }}}}{{\rm{4}}}}}\]

A. \[{\rm{AB}} = \left[ {\begin{array}{*{20}{c}}{14}&{13}\\{14}&{18}\end{array}} \right]\]

B. \[{\rm{AB}} = \left[ {\begin{array}{*{20}{c}}{14}&{13}&0\\{14}&{18}&1\end{array}} \right]\]

C. BA xác định nhưng AB không xác định

D. \[{\rm{AB}} = \left[ {\begin{array}{*{20}{c}}{14}&{13}&0\\{14}&{18}&0\end{array}} \right]\]

A. r( A) = 1

B. r( A) = 3.

C. r( A) = 4.

D. r( A) = 2

A. \[\left[ {\begin{array}{*{20}{c}}0&0&1\\0&1&0\\1&0&0\end{array}} \right]\]

B. \[\left[ {\begin{array}{*{20}{c}}0&0&1\\0&1&0\\1&0&0\\0&0&0\end{array}} \right]\]

C. \[\left[ {\begin{array}{*{20}{c}}0&0&1\\0&1&0\\1&0&0\\0&0&0\end{array}\,\,\,\,\begin{array}{*{20}{c}}0\\0\\0\\1\end{array}} \right]\]

D. Cả 3 câu đều sai

A. 41 − 38i.

B. 41 + 38i

C. 22 + 35i.

D. −41 − 38i.

A. \[\forall \]

B. \[\forall {\rm{m}}\]

C. \[{\rm{m}} \ne 20\]

D. \[{\rm{m}} \ne 0\]