Lecture 8: Matrix Equations

8.1 Basic Concepts of Matrix Equations

#####Definition: Matrixequations

description: equations containing unknown matrices are called matrix equations;

Explanation

• Containing unknown derivatives: derivative equation;
• What your unknown object is called its equation;

Concept: Calculation method

• Method:
• To solve matrix equations, one should first perform an identity transformation based on the problem conditions and matrix operation rules, so that the equation is transformed as:
• AX=B
• XA=B
• AXB=C
• If A is invertible, or A and B are both invertible, then the solutions are: $X=A^{-1}B,X=BA^{-1},X=A^{-1}CB^{-1}$