Matrices Y Determinantes

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES Antecedentes de conocimientos, actitudes o habilidades ,[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.1. Generalidades ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[B] 4,3 =

MATRICES Y DETERMINANTES 5.1. Generalidades ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[B] 4,3 =

MATRICES Y DETERMINANTES 5.1. Generalidades ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.1. Generalidades ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.1. Generalidades ,[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.1. Generalidades ,[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.2. Operaciones con Matrices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.2. Operaciones con Matrices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.2. Operaciones con Matrices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.2. Operaciones con Matrices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],= na

MATRICES Y DETERMINANTES 5.2. Operaciones con Matrices ,[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.2. Operaciones con Matrices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.2. Operaciones con Matrices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],T T T

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],Ejemplo [ 0 ] = [ 0 ] =

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],Ejemplo Sea la matriz [A] = -1 [A] =

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],[object Object],=

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],B

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],B= B B = -4 [ I ]

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[A] ’ = [A] =

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-1 [A] ’ = [A] =

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],[object Object],[A]x [A] = [A ] [A] = Ejemplo: [A] es peri ó dica, con periodo 1

MATRICES Y DETERMINANTES 5.3. Matrices especiales ,[object Object],[object Object],[object Object],[A]x [A] = [A ] [A] =

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4.Determinante ,[object Object],[object Object],[object Object],[ M ] = [ M ] = =

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinantes ,[object Object],[object Object],[object Object],[ A ] = - Con [M] = Aplicando los signos correspondientes a cada elemento: Cofactores [A] =

MATRICES Y DETERMINANTES 5.4. Determinantes ,[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinantes ,[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinantes ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object],[A] = r= 3 ya que |A| 0

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[A] =

MATRICES Y DETERMINANTES 5.4. Determinante ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[A]=

MATRICES Y DETERMINANTES 5.5. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object],[object Object],x =

MATRICES Y DETERMINANTES 5.5. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.5. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],= ( -2)

MATRICES Y DETERMINANTES 5.5. Matriz Inversa ,[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.5.2. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.5. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.5.3. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.5.3. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES 5.5.3. Matriz Inversa ,[object Object],[object Object],[object Object],[object Object]

MATRICES Y DETERMINANTES Bibliografía

Matrices Y Determinantes

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