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.
Solution Stats
Problem Comments
4 Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers13
Suggested Problems
-
Calculate the Levenshtein distance between two strings
1514 Solvers
-
Find the largest value in the 3D matrix
1692 Solvers
-
Remove entire row and column in the matrix containing the input values
576 Solvers
-
Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)
984 Solvers
-
69 Solvers
More from this Author20
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Leave it to me to leave out the important bit.
I learned some math, and the solutions of Tim and Christian taught me three new commands.
The width and height are relatively new functions and I never heard of the Cat function used by Tim. Sadly virtually no one will learn of the Cat function.
> the Cat function used by Tim
That took me a moment to get, but I'll refer to it as that from now on.