Question

Let Describe all solutions of $A\vec{x} = \vec{0}$. $A = \begin{bmatrix} 1 & 1 & 4 & 4\\ 2 & 2 & 8 & 8 \end{bmatrix}$. $\vec{x} = x_2 \begin{bmatrix} 1\\ -1\\ 0\\ 0 \end{bmatrix} + x_3 \begin{bmatrix} -4\\ 0\\ 1\\ 0 \end{bmatrix} + x_4 \begin{bmatrix} -4\\ 0\\ 0\\ 1 \end{bmatrix}$.

          Let
Describe all solutions of $A\vec{x} = \vec{0}$.
$A = \begin{bmatrix} 1 & 1 & 4 & 4\\ 2 & 2 & 8 & 8 \end{bmatrix}$.
$\vec{x} = x_2 \begin{bmatrix} 1\\ -1\\ 0\\ 0 \end{bmatrix} + x_3 \begin{bmatrix} -4\\ 0\\ 1\\ 0 \end{bmatrix} + x_4 \begin{bmatrix} -4\\ 0\\ 0\\ 1 \end{bmatrix}$.

Let
Describe all solutions of Ax⃗ = 0⃗.
A =
< b m a t r i x >.
x⃗ = x2
< b m a t r i x >
+ x3
< b m a t r i x >
+ x4
< b m a t r i x >.

Added by Andrea S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Coach Rye

04/25/2020

Step 1

Step 1: Rewrite the matrix A in vector form using the vec operator: Avec = vec(A) = [1, 1, 4, 4, 2, 2, 8, 8] Show more…

Show all steps

Thanks for your feedback!

Let A=[[1,1,4,4],[2,2,8,8]]. Describe all solutions of Avec(x)=vec(0). vec(x)=x_(2)[[1],[◻],[0],[0]]+x_(3)[[-4],[0],[1],[0]]+x_(4)[[-4],[0],[0],[1]].explain this anser plz Let 1 2 8 Describe all solutions of A = . =x2 +x3 +4