Problem 58787. Solve the matrix equation AXB + X + C = 0 for X

Let A, B, and C be square matrices of equal size, and let the matrix X be defined by the matrix equation
A * X * B + X + C = 0
Please solve this equation for X. For instance, if
A = [1 2 ; 3 4];
B = [5 6 ; 7 8];
C = [9 10 ; 11 12];
then
X = [-1/2 5/3 ; -19/6 1];
solves the equation, as is easily checked. You may assume that A, B and C are such that a solution exists.
Solve

Solution Stats

71.43% Correct | 28.57% Incorrect
Last Solution submitted on Jul 31, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers7

Suggested Problems

More from this Author16

Problem Tags

cat matrix

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!