Question

Explain why a matrix that does not have the same number of rows and columns cannot have a multiplicative inverse.

Answer 1

i thought it was a rule that inverses can only happen in square matrices lol..hmm

Answer 2

must have something to do with definition -__-

Answer 3

I think it's intuitive. One moment.

Answer 4

Son, take thy time.

Answer 5

@SirIsaacNewton when was the last time you studied Engrish?

Answer 6

I doubt he ever studdied 'Engrish' ;)

Answer 7

My son, I went to my alma mater many centuries back. Therefore, I do not remember.

Answer 8

but i taught Sur Newton was a geneous?

Answer 9

i beleive he studdied on the University of Cambridge

Answer 10

I am a genius, though, I woke up after many centuries.

Answer 11

You have a short term memory problem. you floppy disk is old.
The world has change. You should start using some SD cards.

Answer 12

changed*

Answer 13

People, please, write correct. ^^ I'm brazilian, and I seek improve my english in here. rsrsrssr

Answer 14

@jpsmarinho , @SirIsaacNewton can give you some free classes. :D

Answer 15

really?

Answer 16

rssrsr

Answer 17

nobody really answered my question lol

Answer 18

I think that don't have a multiplicative inverse if don't have the same number of rows and collums, because only in this case that have the identity matrix

Answer 19

or I'm incorrect?

Answer 20

The identity matrix is defined as an \(n\) by \(n\) matrix. Therefore, all matrix inverses must also be square.

Answer 21

http://en.wikipedia.org/wiki/Generalized_inverse

Answer 22

i did @ChrisParker023 i told you it was by def lol

Answer 23

Zarkon, generalized inverses are not strictly matrix inverses. But thank you for the link, I had forgotten about those.

Answer 24

no kidding :)

Answer 25

Thanks :)