Let B = \(b_1, b_2, b_3\) be a basis of \(R^3\) where
$\begin{bmatrix} 3\\4\\-1 \end{bmatrix}$ $b_2 = \begin{bmatrix} 2\\4\\3 \end{bmatrix}$ $b_3 = \begin{bmatrix} 3\\1\\-4 \end{bmatrix}$
Let v be a vector in \(R^3\) such that coordinates of v relative to the basis B are given by
$\begin{bmatrix} 3\\3\\-3 \end{bmatrix}$
Find the vector v.
Enter the vector v in the form \([c_1, c_2, c_3\):
Submit
9:1.b. Vectors and coordinates 2
0.0/10.0 points (graded)
Let B = \(b_1, b_2, b_3\) be a basis of \(R^3\) where
$\begin{bmatrix} 4\\-2\\-3 \end{bmatrix}$ $b_2 = \begin{bmatrix} 3\\-2\\1 \end{bmatrix}$ $b_3 = \begin{bmatrix} 1\\-1\\3 \end{bmatrix}$
Let $v = \begin{bmatrix} 4\\4\\5 \end{bmatrix}$ Find the vector \([v]_B\) of coordinates of v relative to the basis B.
Enter the vector \([v]_B\) in the form \([c_1, c_2, c_3\):
Submit
