设向量组\( {\left( {2,1,1,1} \right)^T},{\left( {2,1,a,a} \right)^T},{\left( {3,2,1,a} \right)^T},{\left( {4,3,2,1} \right)^T} \) 线性相关,且\( a \ne 1 \) ,则 \( a = \)______
设向量组\( {\left( {2,1,1,1} \right)^T},{\left( {2,1,a,a} \right)^T},{\left( {3,2,1,a} \right)^T},{\left( {4,3,2,1} \right)^T} \) 线性相关,且\( a \ne 1 \) ,则 \( a = \)______
设`\A`是`\m \times n`矩阵,`\m` 小于 `\n`,则必有 ( ) A: \[\left| {{A^T}A} \right| \ne 0\] B: \[\left| {{A^T}A} \right| = 0\] C: \[\left| {A{A^T}} \right| > 0\] D: \[\left| {A{A^T}} \right| < 0\]
设`\A`是`\m \times n`矩阵,`\m` 小于 `\n`,则必有 ( ) A: \[\left| {{A^T}A} \right| \ne 0\] B: \[\left| {{A^T}A} \right| = 0\] C: \[\left| {A{A^T}} \right| > 0\] D: \[\left| {A{A^T}} \right| < 0\]
设\( A,\;B \) 均为\( n \) 阶方阵,则必有( ). A: \( {(A + B)^2} = {A^2} + 2AB + {B^2} \) B: \( \left| {A + B} \right| = \left| A \right| + \left| B \right| \) C: \( \left| {AB} \right| = \left| A \right|{\kern 1pt} \left| B \right| \) D: \( {\left( {AB} \right)^{\rm T}} = {A^{\rm T}}{B^{\rm T}} \)
设\( A,\;B \) 均为\( n \) 阶方阵,则必有( ). A: \( {(A + B)^2} = {A^2} + 2AB + {B^2} \) B: \( \left| {A + B} \right| = \left| A \right| + \left| B \right| \) C: \( \left| {AB} \right| = \left| A \right|{\kern 1pt} \left| B \right| \) D: \( {\left( {AB} \right)^{\rm T}} = {A^{\rm T}}{B^{\rm T}} \)
设\( \alpha {\rm{ = }}{\left( {1,0,1} \right)^T},\,A = \alpha {\alpha ^T} \),则\( \left| A \right|{\rm{ = }} \)______
设\( \alpha {\rm{ = }}{\left( {1,0,1} \right)^T},\,A = \alpha {\alpha ^T} \),则\( \left| A \right|{\rm{ = }} \)______
设 \( A \)为方阵,则 \( \left| { { A^T}} \right| = \,\left| A \right|\, \).( )
设 \( A \)为方阵,则 \( \left| { { A^T}} \right| = \,\left| A \right|\, \).( )
设 \( A \)为 \( m \times n \)矩阵, \( B \)为 \( n \times m \)矩阵,则下列结论中不正确的是( ) A: \( {\left( {AB} \right)^T} = {B^T}{A^T} \) B: \( \left| {AB} \right| = \left| {BA} \right| \) C: \( tr\left( {AB} \right) = tr\left( {BA} \right) \) D: \( {A^T}A,\;B{B^T} \)均为\(n\)阶对称阵
设 \( A \)为 \( m \times n \)矩阵, \( B \)为 \( n \times m \)矩阵,则下列结论中不正确的是( ) A: \( {\left( {AB} \right)^T} = {B^T}{A^T} \) B: \( \left| {AB} \right| = \left| {BA} \right| \) C: \( tr\left( {AB} \right) = tr\left( {BA} \right) \) D: \( {A^T}A,\;B{B^T} \)均为\(n\)阶对称阵
The school is on the right of the Stamp Street. A: Right B: Wrong C: Doesn't say
The school is on the right of the Stamp Street. A: Right B: Wrong C: Doesn't say
You can’t speak right if you don’t listen well.
You can’t speak right if you don’t listen well.
I don’t think he is right, _______________ ?
I don’t think he is right, _______________ ?
Bill doesn't know___________. A: if his teacher is right B: if his father is right C: who is right D: his mother is good at maths
Bill doesn't know___________. A: if his teacher is right B: if his father is right C: who is right D: his mother is good at maths