derivative of two matrices 2 by 2
If I have a matrix P of size 2 by 2 and a matrix F of size 2 by 2, how do I find the derivative of P with respect to F? Note that P and F are matrices are real numbers.
Is this code is mathmatically correct?
syms F1 F2 F3 F4; % Define symbolic variables for the elements of matrix F
F = [F1, F2; F3, F4]; % Define matrix F
syms p1 p2 p3 p4; % Define symbolic variables for the elements of matrix p
p = [p1, p2; p3, p4]; % Define matrix p
% Calculate the derivative of p with respect to F
dpdF = jacobian(p(:), F(:));
disp(dpdF)
The out put is
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 0, 0]If I have a matrix P of size 2 by 2 and a matrix F of size 2 by 2, how do I find the derivative of P with respect to F? Note that P and F are matrices are real numbers.
Is this code is mathmatically correct?
syms F1 F2 F3 F4; % Define symbolic variables for the elements of matrix F
F = [F1, F2; F3, F4]; % Define matrix F
syms p1 p2 p3 p4; % Define symbolic variables for the elements of matrix p
p = [p1, p2; p3, p4]; % Define matrix p
% Calculate the derivative of p with respect to F
dpdF = jacobian(p(:), F(:));
disp(dpdF)
The out put is
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 0, 0] If I have a matrix P of size 2 by 2 and a matrix F of size 2 by 2, how do I find the derivative of P with respect to F? Note that P and F are matrices are real numbers.
Is this code is mathmatically correct?
syms F1 F2 F3 F4; % Define symbolic variables for the elements of matrix F
F = [F1, F2; F3, F4]; % Define matrix F
syms p1 p2 p3 p4; % Define symbolic variables for the elements of matrix p
p = [p1, p2; p3, p4]; % Define matrix p
% Calculate the derivative of p with respect to F
dpdF = jacobian(p(:), F(:));
disp(dpdF)
The out put is
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 0, 0] derivative MATLAB Answers — New Questions