Formula Algebra 1.docx

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Angela Nieto REGLA DE CRAMER

Determinante matriz 2x2

π‘Ž 𝑐

𝑏 𝑑

|𝐴| = [(a*d) – (c*d)]

Determinante matriz 3x3

π‘Ž π‘Ž1 π‘Ž2

𝑏 𝑏1 𝑏2

𝑐 𝑐1 𝑐2

π‘Ž π‘Ž1 π‘Ž2 π‘Ž π‘Ž1

π‘₯ 𝑦 𝑧

𝑏 𝑏1 𝑏2 𝑏 𝑏1

𝑐 𝑐1 𝑐2 𝑐 𝑐1

π‘₯ 𝑦 𝑧 π‘₯ 𝑦

|𝐴| = (a*𝑏1 *𝑐2 ) + ( π‘Ž1 βˆ— 𝑏2*c) + (π‘Ž2 *b*𝑐1 ) – (π‘Ž1 *b*𝑐2 )-(a*𝑏2 *𝑐1 )- (π‘Ž2 *𝑏1 *c) CRIPTOGRAFÍA X= Matriz renglΓ³n A= Matriz codificada Y= Matrix renglΓ³n codificada π‘₯

𝑦

𝑧

π‘Ž π‘Ž1 π‘Ž2

𝑏 𝑏1 𝑏2

𝑐 𝑐1 𝑐2

(xa + yπ‘Ž1 + zπ‘Ž2 ) (π‘₯𝑏 + 𝑦𝑏1 + 𝑧𝑏2 ) (π‘₯𝑐 + 𝑦𝑐1 + 𝑧𝑐2 )

Y*π΄βˆ’1 =X π΄βˆ’1 =Inversa (EliminaciΓ³n Gauss JordΓ‘n) VECTORES

Suma: U+V = (𝑒1 +𝑣1 , 𝑒2 +𝑣2 ) Resta: U-V = (𝑒1 -𝑣1 , 𝑒2 -𝑣2 ) Producto de un escalar: k*(𝑒1 , 𝑒2 )=(K*𝑒1, K*𝑒2 )

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