Fernandez Page
03/06/2023 · Primary School

a) (2p) Demuestre que si \( A \) es una matriz invertible de dimensión \( n \) entonces sólo tiene una única matriz inversa. b) (2p) Defina a qué se denomina ecuación matricial e indique la expresiór genérica de al menos dos distintas. c) (2p) Dada la ecuación matricial \( A-B X=C X \), obtenga la expresión genérica que le permite calcular la matriz \( X \). d) (2p) Explique cuáles son las condiciones que deben reunir las

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a) Si \( A \) es invertible, tiene una única matriz inversa. b) Una ecuación matricial es una igualdad con matrices. Ejemplos: \( AX = B \) y \( XA = B \). c) Para \( A - BX = CX \), \( X = (B + C)^{-1} A \) si \( B + C \) es invertible. d) Condiciones: \( B + C \) debe ser invertible y dimensiones de matrices deben ser compatibles.

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