Consider the subspace H of R4 given by H = -a + 2b + 14c a - 2a + 4b + 28c - 2a a. Find a basis for H. (Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.) { } " b. State the dimension of H. dim (H) = Why am I not getting partial credit? : a, b, c ER "

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 22EQ
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I need help with these two problem please help me

Consider the subspace H of R4 given by
H
-
-a + 2b + 14c
a
- 2a + 4b + 28c
- 2a
b. State the dimension of H.
dim(H) =
a. Find a basis for H.
(Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.)
{
}
Why am I not getting partial credit?
: a, b, c ER
Transcribed Image Text:Consider the subspace H of R4 given by H - -a + 2b + 14c a - 2a + 4b + 28c - 2a b. State the dimension of H. dim(H) = a. Find a basis for H. (Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.) { } Why am I not getting partial credit? : a, b, c ER
Consider the subspace H of Rª given by
H =
2a
2a8b2c
- 4a +206 5c
2a
16b4c
a. Find a basis for H.
(Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.)
{
}
Why am I not getting partial credit?
b. State the dimension of H.
dim(H) =
: a, b, c = R
Transcribed Image Text:Consider the subspace H of Rª given by H = 2a 2a8b2c - 4a +206 5c 2a 16b4c a. Find a basis for H. (Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.) { } Why am I not getting partial credit? b. State the dimension of H. dim(H) = : a, b, c = R
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