Example: Solving a Linear System of Equations
Solve a linear system of n equations in n unknowns using the lsolve function or using solve blocks.
Using lsolve
1. Assume that you have the following set of equations (defined using the equal to operator):
2. Create a nonsingular matrix corresponding to the above system of equations:
3. Create the vector of constants corresponding to the above system of equations:
4. Use the lsolve function to find the solution:
Using Solve Blocks
You can also solve the above system of equations using a solve block.
 | If you cast the system as a matrix times an unknown vector X, you must solve for all variables in the vector at once. You cannot hold any of the vector elements constant in this formulation. |
1. Provide a guess values vector X:
2. Insert a solve block, then use the find function to solve the above system of equations:
| | The guess values vector X must be defined before and outside the solve block. |
Solve Blocks - Solving for Matrices
1. Define the set of algebraic Riccati equation (from system and control theory):
2. Define the initial guess matrix as an identity matrix:
3. Use the Find function to solve the above set of equations:
Units in Solve Blocks
1. Set V1, V2 and V3 to 1 volt:
2. Define and solve the system of equations with three unknowns:
