可以化为用矩阵表示的方程组。()<img src="http://p.ananas.chaoxing.com/star3/origin/4fb5a8525d9a99a08fd3d59188d4afa9.png"/>
设A为n×m实矩阵,且秩rA.=n,考虑以下命题:<img src='https://img2.soutiyun.com/ask/uploadfile/5124001-5127000/f52bd02a81941527de1c636ab14f844a.jpg' />其中正确的命题数为
设A是n(n≥3)阶矩阵,满足A3=O,则下列方程组中有惟一零解的是().A.A2X=OB. (A2+A)X=OC.(A2-A)X
齐次线性方程组<img src='https://img2.soutiyun.com/shangxueba/ask/1497001-1500000/1497017/ct_kgctem_kgctechoose_0050(106)1.jpg' />的系数矩阵为A,若有3阶非零矩阵B使AB=0,则()。
设直线趋势方程的一般形式为<img src='https://img2.soutiyun.com/shangxueba/ask/1338001-1341000/1340181/ct_cjtjmjcz_cjtjmjcnchoose_00166(200911)2.jpg' />,t代表时间序号(令2000年t=0),而a与b的含义和计算公式是()。
试证明下列函数满足拉普拉斯方程:<img src='https://img2.soutiyun.com/ask/2019-06-18/929711665151155.png' />
设X~N(μ,σ<sup>2</sup>),σ>0,二次方程<img src='https://img2.soutiyun.com/latex/latex.action' />无实根的概率为<img src='https://img2.soutiyun.com/latex/latex.action' />,则μ=( )
设A为n阶实矩阵,试证<img src='https://img2.soutiyun.com/ask/2020-11-27/975337127824512.jpg' />
设C是n阶可逆矩阵,D是3Xn 矩阵,且<img src='https://img2.soutiyun.com/ask/2020-11-26/975229376683693.png' />
满足方程f(x)+2<img src='https://img2.soutiyun.com/shangxueba/ask/17673001-17676000/17675800/201510261646105063.jpg' />f(x)dx=x<sup>2</sup>的解f(x)是:()
设矩阵,X为三阶矩阵,且满足矩阵方程AX+E=A<sup>2</sup>+X,求矩阵X.
设矩阵 ,X为三阶矩阵,且满足矩阵方程AX+I=A<sup>2</sup>+X,求矩阵X.
设复数z满足<img src='https://img2.soutiyun.com/shangxueba/ask/1644001-1647000/1646297/ct_kgctem_kgctechoose_0132(106)1.jpg' />,则|1+z|=().
设参数方程<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17670789/2015102617291875238.jpg' />,确定了y是x的函数,且f′(t)存在,f(0)=2,f′(0)=2,则当t=0时,dy/dx的值等于:()
设参数方程<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17672290/2015102617310076340.jpg' />,确定了y是x的函数,f″(t)存在且不为零,则d<sup>2</sup>y/d<sup>2</sup>x的值是:()
设方程10-2x-cosx=0的迭代法为<img src='https://img2.soutiyun.com/shangxueba/ask/50862001-50865000/50862921/968086348700253.png' />,说明对于任意初值此迭代收敛,并估计要求具有10位有效数字时大约要迭代多少步。
设f(x)为连续函数,且满足等式<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/97672305236883.png' />则<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/976723063701479.png' />=().
(2011)设3阶矩阵A=<img src='https://img2.soutiyun.com/shangxueba/ask/19008001-19011000/19009882/2015110316062911517.png' />,已知A的伴随矩阵的秩为1,则a=()
一个二维物体的竖直表面收液体自然对流冷却,为考虑局部表面传热系数的影响,表面传热系数采用<img src='https://img2.soutiyun.com/ask/2020-04-18/956053825518254.png' />来表示。试列出附图所示的稳态无内热源物体边界节点(M,n) 的温度方程,并对如何求解这一方程提出你的看法。设网格均分。
设函数<img src='https://img2.soutiyun.com/shangxueba/ask/51060001-51063000/51061013/970054070213009.png' />求方程f(x)=0的根。
设<img src='https://img2.soutiyun.com/shangxueba/ask/51291001-51294000/51293683/975264374908477.png' />是n维实向量,且<img src='https://img2.soutiyun.com/shangxueba/ask/51291001-51294000/51293683/975264387229182.png' />战性无关,<img src='https://img2.soutiyun.com/shangxueba/ask/51291001-51294000/51293683/975264401121976.png' /><img src='https://img2.soutiyun.com/shangxueba/ask/51291001-51294000/51293683/975264415373792.png' />是线性方程组
设n阶矩阵A满足A<sup>m</sup>=0,m是正整数,试证E-A可逆,且<img src='https://img2.soutiyun.com/ask/2020-11-26/975228984878283.png' />
设A,B为n阶可逆矩阵,E为n阶单位矩阵,求<img src='https://img2.soutiyun.com/ask/2020-10-27/972642814546534.png' />
设A=[a<sub>ij</sub>]为n阶实对称矩阵,λ<sub>1</sub>≥λ<sub>2</sub>≥...≥λ<sub>n</sub>为其特征值,证明:<img src='https://img2.soutiyun.com/ask/2020-11-27/97534084251998.jpg' />