Adjoint matrix:The adjoint matrix A (adj A) is formed of the cofactors of the original matrix A, where each entry is given by {eq}C_{ji} = (-1)^{i+j} det A_{ji} {/eq}. The matrix {eq}A_{ji} {/eq} is formed by removing the jth row and the ith column from A. NOTE...
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Y'=3ax^2+2bx+c Y''=6ax+2b 所以(6ax+2b)+(3ax^2+2bx+c)=2x^2+1 所以3a=2,6a+2b=0,2b+c=1 a=2/3,b=-2,c=4 故特解为Y=2/3x^3-2x^2+4x 原方程对应齐次方程的特征方程为r^2+r=0 r=-1或r=0 所以齐次方程的通解为y*=C1e^(-x)+C2 原方程的通解为y=C1e^(...
Learn the definition of Inverse and browse a collection of 1000 enlightening community discussions around the topic.
how to find inverse of a matrix quickly 3x + y = -9\\ 5x + 4y = 6 Solve using inverse matrix. Given a matrix A=\begin{bmatrix} 3&5&6\\ 2&4&3\\ 2&3& 5 \end{bmatrix}. Find the inverse matrix A^{-1}. Solve using the inverse matrix method. 3 x + 3 y = 1 6 x....
For what value (s) of x, if any, does the matrix have no inverse?(bmatrix)e^x& (-e)^(2x) e^(2x)& e^(3x)(bmatrix) 相关知识点: 试题来源: 解析 ±atrix(e^x& (-e)^(2x) e^(2x)& 3^(3x))^(-1)Find 2* 2 matrix inverse according to the formula: (±atrix(a& b c...
det(A)=1⋅(cosα⋅(−cosα)−sinα⋅sinα)=−(cos2α+sin2α)=−1 Step 2: Calculate the Cofactors of Matrix ANext, we need to find the cofactors of each element in the matrix A. 1. Cofactor C11: C11=(−1)1+1⋅det(cosαsinαsinα−cosα)=1⋅(−cos2α...
In this paper we prove that the inverse mean problem of geometric and golden means of positive definite matrices $$ left{ begin{aligned} & A = X# Y & B = frac{1} {2}(X+X# (4Y - 3X)) end{aligned} right. $$ is solvable (resp. uniquely solvable) if and only if $ A leq{sq...
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nonlinear matrix equationIn this paper we prove that the inverse mean problem of geometric and golden means of positive definite matrices $$ left{ begin{aligned} & A = X# Y & B = frac{1} {2}(X+X# (4Y - 3X)) end{aligned} right. $$ is solvable (resp. uniquely solvable) if and...