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Operaciones nivel experto

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Operaciones de alto nivel en matrices

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Operaciones nivel experto
 

Operaciones nivel expertoOnline version

Operaciones de alto nivel en matrices

by Jimena Rodríguez
1

A^T A siempre es invertible.

2

El producto A^T A es simétrico y semidefinido positivo.

3

El rango de una matriz es siempre igual al número de filas.

4

Si A y B son diagonales, entonces AB es diagonal.

5

La multiplicación de matrices es asociativa cuando las dimensiones son compatibles.

6

La inversa de una matriz cuadrada siempre existe.

7

La multiplicación de matrices es conmutativa.

8

La suma de matrices sólo está definida si sus dimensiones son distintas.

9

El determinante de una matriz triangular es el producto de sus diagonales.

10

La transposición distribuye sobre la suma: (A+B)^T = A^T + B^T.

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