(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find a basis of the null space N(A) in R^5 of the matrix

A =

1 -2 2 3 -1

-3 6 -1 1 -7

2 -4 5 8 -4

in M3*5 (R) and hence determine the dimension

2. Relevant equations

3. The attempt at a solution

i found that

A=

1 -2 2 3 1

0 0 1/5 2/5 -2/5

0 0 0 0 0

by (r3-2r1)/5 for r2

(5r3-13r1-r2)/5 for r3

and Ax=0 for the null space

but i don't know how to continue , which one is the null space and how to determine the dimension(i guess the dimension is 1)

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# Null space and dimension

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