Subspace

[mathsdo]

Let

H = 4a+3b
0
a+b+c
c-2a

where a,b,c are arbitrary real numbers.

Determine giving sufficient justification, whether or not H is a subspace of R4

 

[Deleted member 4993]

Let

H = 4a+3b
0
a+b+c
c-2a

where a,b,c are arbitrary real numbers.

Determine giving sufficient justification, whether or not H is a subspace of R4

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[mathsdo]

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

Hi, I am stuck with the 0. I knew that it must be a zero vector to be subspace. and if the 0 is replaced with 3, then it is not a subspace as 3 restrict to get zero vector. but with 0, I am not that sure.