Give this matrix A: \begin{pmatrix}-25&2&3&-29\\2&7&7&11\\3&7&7&2\\-29&11&2&11\end{pmatrix}
How can we calculate C matrix when A = AC - CA without extensive computations? Thought of doing these steps:
- Let C be {{a,b,c,d},{e,f,g,h},{i,j,k,l},{m,n,o,p}}
- Calculate (via wolfram) AC, CA
- Subtract AC, CA (cannot do it with wolfram, there's a limit on the characters of input
- Then assign the 1st row of the result with the respective row of matrix A
- Solve the system of 4 linear equations with 4 variables
Is that correct? How can I find a workaround for step 3?
Thank you for your time!