Prueba 1 Flashcards

1
Q

Igualdad de matrices

A

Lo mismo

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2
Q

Suma de matrices

A

Misma dimensión

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3
Q

A+B

A

B+A

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4
Q

A+(B+C)

A

(A+B)+C

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5
Q

A+(-A)

A

0

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6
Q

A+0

A

A

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7
Q

A(DE)

A

(AD)E

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8
Q

(A+B)C

A

AC+BC

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9
Q

A(xC)

A

(xA)C

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10
Q

A2

A

AA

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11
Q

A0

A

In

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12
Q

ArAs

A

Ar+s

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13
Q

(Ar)s

A

Ar*s

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14
Q

(AT)T

A

A

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15
Q

(A+B)T

A

AT+BT

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16
Q

(AC)T

A

CTAT

17
Q

(xA)T

A

xAT

18
Q

Tr(xA)

A

xTr(A)

19
Q

Tr(AT)

A

Tr(A)

20
Q

Tr(AB)

A

Tr(BA)

21
Q

Tipos de matrices

A

1.- Triangular superior
2.- Triangular inferior
3.- Diagonal

22
Q

Matriz simétrica

A

AT=A

23
Q

Matriz antisimetrica

A

AT=-A

24
Q

Escalonada por filas

A

Ceros abajo del pivote, pivote distinto de cero

25
Q

Escalonada reducida

A

Diagonal 1, todo 0 arriba y abajo

26
Q

Rango

A

Escalonar y luego el rang serán todas las filas distintas de 0

27
Q

Si A equivalente por filas a B

A

Sus rangos son iguales

28
Q

Matriz elemental

A

Matriz resultante despues de aplicar operaciones elementales a I

29
Q
A