On the Solution of Linear Matrix Equation
MA Jun-er
Abstract
MA Jun-er
Abstract
The article talks about the discriminate theorem of solution possibilities of general linear matrix equation AX=B,XA=B,AXB=C. By using divided matrix and elementary linear matrix operation, the article mainly analyzes the solution structure of equation AX=B and XA=B when it has infinitive solution and illustrates it with examples.
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The article talks about the discriminate theorem of solution possibilities of general linear matrix equation AX=B,XA=B,AXB=C. By using divided matrix and elementary linear matrix operation, the article mainly analyzes the solution structure of equation AX=B and XA=B when it has infinitive solution and illustrates it with examples.
Key concepts: Matrix (chemical analysis), Mathematics, Linear equation, State-transition matrix, Applied mathematics, Algebra over a field, Pure mathematics, Mathematical analysis