Summary
Sumario Tipos de Matrices Completo
- Course
- Institution
En este resumen podrás ver todo sobre las matrices
[Show more]
Seller
Follow
itsd3lay
Content preview
TIPOS DE MATRICESMatriz cuadrada: matriz que tiene el mismo 3 2
número de filas que de columnas 5 −1
Matriz identidad o unidad: matriz
cuadrada donde los elementos de la 1 0 0
I= 0 1 0
diagonal principal son unos y el resto
0 0 1
ceros.
Matriz fila: matriz que solo tiene una fila
1 4 −2
1
2
Matriz columna: matriz que solo tiene una
−3
columna
4
0
0 0 0
Matriz nula: todos sus elementos valen cero
0 0 0
Matriz traspuesta de A: es otra matriz At 1 2 −1 1 1 −3
que se obtiene al cambiar en A las filas por A= 1 0 4 At = 2 0 3
las columnas y las columnas por las filas. −3 3 1 −1 4 1
https://marielmatesblog.wordpress.com/
Matriz simétrica: es una matriz cuadrada 4 3 -1
cuyos elementos a ambos lados de la 3 0 -2
diagonal principal son iguales. -1 2 5
Matriz antisimétrica (o hemisimétrica):
matriz cuadrada en la que los elementos a
0 1 −3
ambos lados de la diagonal principal son
−1 0 4
opuestos (iguales pero con distinto
3 −4 0
signo). Los elementos de la diagonal
principal deben ser cero.
4 0 0
Matriz diagonal: matriz cuadrada donde
los elementos que no están en la diagonal 0 0 0
0 0 5
principal son cero.
Matriz triangular superior (inferior): todos los 1 5 −3 1 0 0
elementos por debajo (encima) de la 0 0 4 y −2 1 0
diagonal principal son cero. 0 0 1 3 5 1
, PROPIEDADES DE LAS OPERACIONES CON MATRICES
2 3 3 2 0 1 2 3 3 2 0 1
+ + = + +
1 −1 5 −1 4 −1 1 −1 5 −1 4 −1
ASOCIATIVA
4 0 3 3 −2 1 3 −2 1 4 0 3
0 1 0 + 0 7 0 = 0 7 0 + 0 1 0
0 −1 5 0 0 5 0 0 5 0 −1 5
CONMUTATIVA
1 2 −1 0 0 0 1 2 −1
ELEMENTO
1 0 4 + 0 0 0 = 1 0 4
NEUTRO
−3 3 1 0 0 0 −3 3 1
0 1 −3 0 −1 3 0 0 0
ELEMENTO
−1 0 4 + 1 0 −4 = 0 0 0
OPUESTO
3 −4 0 −3 4 0 0 0 0
1 2 −1 1 2 −1
https://marielmatesblog.wordpress.com/
2· 3· 1 0 4 = 2·3 · 1 0 4
−3 3 1 −3 3 1
ASOCIATIVA
0 1 −3 0 1 −3 0 1 −3
2 − 5 · −1 0 4 = 2 · −1 0 4 +(-5)· −1 0 4
3 −4 0 3 −4 0 3 −4 0
DISTRIBUTIVA 0 1 −3 1 2 −1 0 1 −3 1 2 −1
3· −1 0 4 + 1 0 4 = 3 · −1 0 4 +3· 1 0 4
3 −4 0 −3 3 1 3 −4 0 −3 3 1
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller itsd3lay. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.78. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
78252 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now