矩阵函数的相关定义和概念请问这里的f(r,s)和ci(r,/>

xinsui25402022-10-04 11:39:541条回答

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fayfayxu 共回答了18个问题 | 采纳率83.3%
没有上下文不敢完全确定,不过应该就是最朴素的理解.
即f(r,s)(z)表示矩阵r行s列的矩阵元(关于z的函数).
ci(r,s)就是f(r,s)(z)在原点幂级数展开的i次项系数.
这里的变量z应该就是数而不是矩阵.
所以F(z)可以称为矩阵值函数,或者函数矩阵,而不是通常所说的矩阵函数.
1年前

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已知矩阵函数sin(At)=(t+1,e^t;cos(t),2),求矩阵A?

真的就无人能解吗?
ll就是我1年前1
风飞蓝 共回答了21个问题 | 采纳率100%
题目有问题.
t = 0时左端成为零矩阵,但右端是非零矩阵[1,1;1,2].
因此无论A是何矩阵,题目所给的都不可能是一个恒等式.
有道线性代数关于求矩阵函数的题目,
yfy091年前1
7624459 共回答了19个问题 | 采纳率84.2%
用对角线法则容易求出
f(x) = x^2 - 2x - 2
g(x) = x^2 + 2x - 3
A^2 =
3 -2
-6 7
f(A) = A^2 - 2A - 2E =
1 -4
-12 9
g(x) = A^2 + 2A - 3E =
0 0
0 0
f(A)g(A) = 0 = g(A)f(A)
如何将符号函数转换为矩阵函数例如pdx1=pi*cos(pi*x1) + pi*cos(pi*x1)*cos(pi*x2
如何将符号函数转换为矩阵函数
例如pdx1=pi*cos(pi*x1) + pi*cos(pi*x1)*cos(pi*x2)
如何将其转换成向量函数?sym2poly只能转换含有单一变量的函数
在线等
一共20积分都送出去了,请别嫌弃
xushiliangsw1年前1
dongsunhuang 共回答了21个问题 | 采纳率81%
命令就是下面的,coeffs()
>> syms x1 x2;
>> pdx1=pi*cos(pi*x1) + pi*cos(pi*x1)*cos(pi*x2)
pdx1 =
pi*cos(pi*x1) + pi*cos(pi*x1)*cos(pi*x2)
>> coeffs(pdx1)
ans =
[ 1,1]
>> coeffs(pdx1,x1)
ans =
[pi*cos(pi*x1) + pi*cos(pi*x1)*cos(pi*x2)]
>> coeffs(pdx1,x2)
ans =
[pi*cos(pi*x1) + pi*cos(pi*x1)*cos(pi*x2)]
matlab解释
COEFFS Coefficients of a multivariate polynomial.
C = COEFFS(P) returns the coefficients of the polynomial P with
respect to all the indeterminates of P.
C = COEFFS(P,X) returns the coefficients of the polynomial P with
respect to X.
[C,T] = COEFFS(P,...) also returns an expression sequence of the
terms of P.There is a one-to-one correspondence between the
coefficients and the terms of P.
Examples:
syms x
t = 2 + (3 + 4*log(x))^2 - 5*log(x);
coeffs(expand(t)) = [ 11,19,16]
syms a b c x
y = a + b*sin(x) + c*sin(2*x)
coeffs(y,sin(x)) = [a + c*sin(2*x),b]
coeffs(expand(y),sin(x)) = [a,b + 2*c*cos(x)]
syms x y
z = 3*x^2*y^2 + 5*x*y^3
coeffs(z) = [5,3]
coeffs(z,x) = [5*y^3,3*y^2]
[c,t] = coeffs(z,y) returns c = [5*x,3*x^2],t = [y^3,y^2]