### Solution for Matrix Equation AX-YB=C

#### Abstract

^{(1)}. The inverse moore penrose is an extension of the inverse matrix concept. complex matrices will be used to find matrix inverses. Matrix m×n field F can write as C

_{m×n}with A

^{(1)}g-invers of A, the matrix statisfying the equation AA

^{(1)}A=A. A necessary and suffient conditions is established for solvability of the matrix equation AX-YB=C. Where matix A,B, and C are giving by equation, we can find the solutions by using Penrose equation existence and construction of -inverse to find matrix X and Y satisfying the equation AX-YB=C. Substitute the matrix and the matrix to the equation AX-YB=C so that it is proven that the results of AX-YB are matrix C.

#### Keywords

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PDF#### References

Ben-Israel, A dan T.N.E. Greville. 2003. Generalized Inverses Theory and Applications; Second Edition. Springer-Verlag, New York.

J.K. Baksalary dan R. Kala. 1979. The Matrix Equation AX Y B = C Linear Algebra and Its Applications. pp. 25:41-43.

DOI: http://dx.doi.org/10.52155/ijpsat.v13.2.814

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