Question

Help Please-Find the rank of this matrix:
2 1 3
1 -1 2
1 0 3

Answer 1

just do elimination

Answer 2

whatever they call it

Answer 3

do you know the form

x+y+z
0+y+z
0+0+z

Answer 4

gaussian elimination

Answer 5

yeah

Answer 6

just work it like that
:/

Answer 7

But how do you know it's rank?

Answer 8

The rank of a matrix is the maximum number of independent rows (or, the maximum number of independent columns).

http://chortle.ccsu.edu/vectorlessons/vmch16/vmch16_15.html

:P

Answer 9

http://en.wikipedia.org/wiki/Rank_%28linear_algebra%29

Answer 10

ok, thanks. And how do you know the basis for the row space of a matrix. This is confusing :(

Answer 11

sorry looking :/

Answer 12

np

Answer 13

the number of non zero rows or column is rank #

Answer 14

okies

once got your constant

it is the dependent

this is why it is becomes the basis of you calculations

example

1 2 3
0 4 6
0 0 7

7 is your dependent variable
because
you are doing all this work
( and i am also, typing)

(i know i am repeating myself )
doing all this work to arrive the number
7
you will be using this to solve this your equation
without it you cannot go on
you depend on it
it will be the BASIS