Question
By forming the augmented matrix and row reducing, determine the solutions of the following system $2 x-y+3 z=4$$3 \mathrm{x}+2 z=5$$-2 x+y+4 z=6$
Step 1
The system is: \[ \begin{align*} 2x - y + 3z &= 4 \\ 3x + 0y + 2z &= 5 \\ -2x + y + 4z &= 6 \end{align*} \] The augmented matrix is: \[ \begin{bmatrix} 2 & -1 & 3 & | & 4 \\ 3 & 0 & 2 & | & 5 \\ -2 & 1 & 4 & | & 6 \end{bmatrix} \] Show more…
Show all steps
Your feedback will help us improve your experience
Raj Bala and 85 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve the following sets of simultaneous equations by reducing the matrix to row echelon form. $$ \left\{\begin{array}{r} x-y+2 z=3 \\ -2 x+2 y-z=0 \\ 4 x-4 y+5 z=6 \end{array}\right. $$
LINEAR EQUATIONS; VECTORS, MATRICES, AND DETERMINANTS
General theory of sets of linear equations
Solve the following sets of simultaneous equations by reducing the matrix to row echelon form. $$ \begin{array}{r} x-y+2 z=5 \\ 2 x+3 y-z=4 \\ 2 x-2 y+4 z=6 \end{array} $$
Solve the system of equations by finding the reduced row echelon form for the augmented matrix. $$\begin{aligned} x+y+3 z &=2 \\ 3 x+4 y+10 z &=5 \\ x+2 y+4 z &=3 \end{aligned}$$
Systems and Matrices
Multivariate Linear Systems and Row Operations
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD