百度试题 结果1 题目If A has an inverse, how would you solve the matrix equation AX=B?相关知识点: 试题来源: 解析 Find A^(-1) and multiply both sides (from the left):A^(-1)(AX)=A^(-1)BX=A^(-1)B反馈 收藏
百度试题 结果1 题目 If A has an inverse, how would you solve the matrix equation AX=B? 相关知识点: 试题来源: 解析 Find A^(-1) and multiply both sides (from the left):A^(-1)(AX)=A^(-1)BX=A^(-1)B
Matrixequation,algebraicformula.LiisnngderMatrixgleiehungAX-XB=C.AngegebenwirdeinealgebraischeFormelfiirdieL6sungderGleichungAX-XB=CundeinaufihrbasierenderL6sungsalgorithmus.1.IntroductionWeconsiderthematrixequationAX-XB=C(1)whereA,B,Careknownmxm,nxnandrnxnmatricesrespectively.Asiswellknown,thereisaunique...
A necessary and sufficient condition for the matrix equation AXB+ CYD= E to be consistent is established, and if it is, a representation of the general solution is given, thus generalizing earlier results concerning the equation AX+ YB= C....
The well-known Roth's equivalence theorem states that the matrix AX+YB=C is solvable for X and Y if and only if AC0B and A00B are equivalent, i.e. ran... Y Tian - 《J.concr.appl.math》 被引量: 0发表: 2004年 The Matrix Equation AXB+CXD=E The matrix equation AXB+CXD=E can...
Multiply xx by each element of the matrix. [x⋅1x⋅−1]+y[21]=[ab][x⋅1x⋅-1]+y[21]=[ab] Step 1.2 Simplify each element in the matrix. Tap for more steps... Step 1.2.1 Multiply xx by 11. [xx⋅−1]+y[21]=[ab][xx⋅-1]+y[21]=[ab] Step 1.2.2 Move ...
The solution of the matrix equation AXB=D and the system of matrix equations AX=C,XB=D with X<sup>*</sup>X=I<inf>p</inf> 2022, Applied Mathematics and Computation Show abstract A survey of distributed algorithms for solving matrix equations 2021, Kongzhi Lilun Yu Yingyong/Control Theory...
The positive definite solutions of the matrix equation X-A*X-αA-B*X-βB=I,α,β∈(0,1] were investigated.Necessary and sufficient conditions for the existence of positive definite solutions were derived,which generalize the existing related results.A necessary condition for the existence of th...
The general nonegative definite solution to the matrix equation AXA* = B is established in a form which can be viewed as advantageous over that derived by Khatri and Mitra (1976). The problem of determining an existence criterion and a representation of a positive definite to this equation is...
General solutions to the matrix equation AX-EXF=BY and their applications矩阵方程AX-EXF=BY的通解及其应用参数通解完全自由度右互质分解Luenberger函数观测器参数化方法给出矩阵方程 AX-EXY=BY的一个完全解析的、具有显式表达式和完全自由度的参数解 (X,Y) .这里假设矩阵束 (E,A,B) 为R-能控的, F为任意...