11. Solve the following equations by using matrix inversion method: $x + y + z = 6$, $x - y + z = 2$ and $2x + y - z = 1$
Added by Hector B.
Close
Step 1
The given system of equations can be represented as AX = B, where A is the matrix of coefficients, X is the column matrix of variables (x, y, z), and B is the column matrix of constants. A = | 1 1 1 | | 1 -1 1 | | 2 1 -1 | X = | x | | y | | z Show more…
Show all steps
Your feedback will help us improve your experience
Bhushan Arora and 92 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 matrix equation by multiplying each side by the appropriate inverse matrix.
Bhushan A.
Use matrix inversion to solve the given systems of linear equations. $$ \begin{array}{l} x+y=4 \\ x-y=1 \end{array} $$
Matrix Algebra and Applications
Matrix Inversion
Use matrix inversion to solve the given systems of linear equations. $$ \begin{array}{l} \frac{x}{3}+\frac{y}{2}=0 \\ \frac{x}{2}+y=-1 \end{array} $$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD