Question

Consider the subspace $H$ of $\mathbb{R}^4$ given by $H = \begin{Bmatrix} \begin{bmatrix} -a - 9b + 2c\\ 2a + 18b - 2c \\ -a - 9b + 4c \\ -a - 9b + 2c \end{bmatrix} : a, b, c \in \mathbb{R} \end{Bmatrix}$ a. Find a basis for $H$. (Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.) $\{ \Box, \Box, \Box \}$ Why am I not getting partial credit? b. State the dimension of $H$. dim(H) = \Box

          Consider the subspace $H$ of $\mathbb{R}^4$ given by
$H = \begin{Bmatrix} \begin{bmatrix} -a - 9b + 2c\\ 2a + 18b - 2c \\ -a - 9b + 4c \\ -a - 9b + 2c \end{bmatrix} : a, b, c \in \mathbb{R} \end{Bmatrix}$
a. Find a basis for $H$.
(Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.)
$\{ \Box, \Box, \Box \}$
Why am I not getting partial credit?
b. State the dimension of $H$.
dim(H) = \Box

$Consider the subspace H of ℝ^4 given by H = < b m a t r i x > : a, b, c ∈ℝ a. Find a basis for H. (Note: Use one vector per answerbox. It's okay if some of the answerboxes remain empty.) {, , } Why am I not getting partial credit? b. State the dimension of H. dim(H) =$

Added by Alexis M.

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