Math  /  Algebra

QuestionFind the general solution for the system from the augmented matrix: [012514414] \begin{bmatrix} 0 & 1 & -2 & 5 \\ 1 & -4 & 4 & -14 \end{bmatrix} Choose A, B, C, or D.

Studdy Solution
The general solution of the system is then given by the expressions for xx and x2x2 in terms of x3x3 obtained in6 and9, and x3x3 is a free variable.
x=26+8x35x2=5+2x3x3=free\begin{align*} x &= \frac{26 +8x3}{5} \\ x2 &=5 +2x3 \\ x3 &= \text{free} \end{align*} So, the correct choice is C.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord