Question

Consider the matrix $A = \begin{bmatrix} -1 & 4 & -3 \\ 4 & -2 & -1 \\ -2 & -2 & -5 \end{bmatrix}$ and the vector $x = \begin{bmatrix} -5 \\ -5 \\ 4 \end{bmatrix}$. When multiplying $A$ by $x$ on the right, the result $Ax$ is a linear combination of the three column vectors $v_1 = \begin{bmatrix} -1 \\ 4 \\ -2 \end{bmatrix}$, $v_2 = \begin{bmatrix} 4 \\ -2 \\ -2 \end{bmatrix}$, $v_3 = \begin{bmatrix} -3 \\ -1 \\ -5 \end{bmatrix}$ of $A$, as follow: $Ax = a_1v_1 + a_2v_2 + a_3v_3$ What are the coefficients in front of those vectors? $a_1 = $ $a_2 = $ $a_3 = $

          Consider the matrix $A = \begin{bmatrix} -1 & 4 & -3 \\ 4 & -2 & -1 \\ -2 & -2 & -5 \end{bmatrix}$ and the vector $x = \begin{bmatrix} -5 \\ -5 \\ 4 \end{bmatrix}$. When multiplying $A$ by $x$ on the right, the result $Ax$ is a linear combination of the three column vectors $v_1 = \begin{bmatrix} -1 \\ 4 \\ -2 \end{bmatrix}$, $v_2 = \begin{bmatrix} 4 \\ -2 \\ -2 \end{bmatrix}$, $v_3 = \begin{bmatrix} -3 \\ -1 \\ -5 \end{bmatrix}$ of $A$, as follow:
$Ax = a_1v_1 + a_2v_2 + a_3v_3$
What are the coefficients in front of those vectors?
$a_1 = $
$a_2 = $
$a_3 = $

Consider the matrix A =
< b m a t r i x > and the vector x =
< b m a t r i x >. When multiplying A by x on the right, the result Ax is a linear combination of the three column vectors v1 =
< b m a t r i x >, v2 =
< b m a t r i x >, v3 =
< b m a t r i x > of A, as follow:
Ax = a1v1 + a2v2 + a3v3
What are the coefficients in front of those vectors?
a1 =
a2 =
a3 =

Added by Jose Antonio G.

Question

Please give Ace some feedback