INGENIERIA
Desarrollo punto 5 Wilmer Pupo.docx

# Desarrollo punto 5 Wilmer Pupo.docx - 5 Calcule el valor de...

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5. Calcule el valor de la inversa de la matriz dada usando dos métodos diferentes, y compruebe su respuesta. A = | 3 a b 4 | Para hallar la matriz inversa se debe realizar: A 1 = 1 det | 3 a b 4 | | 4 a b 3 | Hallamos determinante: det | 3 a b 4 | = ( 12 ) ( ab ) = 12 + ab Reemplazamos y hallamos la inversa de la matriz: A 1 = 1 12 + ab | 4 a b 3 | A 1 = | ( 1 12 + ab ) ( 4 ) ( 1 12 + ab ) (− a ) ( 1 12 + ab ) ( b ) ( 1 12 + ab ) ( 3 ) | A 1 = | 4 12 + ab a 12 + ab b 12 + ab 3 12 + ab | Comprobación de la respuesta: A A 1 = matrizidentidad

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A A 1 = | 3 a b 4 | | 4 12 + ab a 12 + ab b 12 + ab 3 12 + ab | A A
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• Spring '17
• jerson gonzalez
• =12+ ab

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