Flag Algebra> . Solve system of linear equations, using...
question mark

. Solve system of linear equations, using matrix method. x - y + 2z = 7 3x + 4y - 5z = -5 2x - y + 3z = 12

samrat , 11 Years ago
Grade
anser 1 Answers
SHAIK AASIF AHAMED
Hello student,
Please find the answer to your question below
writing given equations in the form of matrix we get
AX=B
\begin{bmatrix} 1 & -1& 2\\ 3& 4&-5 \\ 2&-1 &3 \end{bmatrix}\begin{bmatrix} x\\ y\\ z \end{bmatrix}=\begin{bmatrix} 7\\-5 \\ 12\end{bmatrix}
\begin{bmatrix} x\\ y\\ z \end{bmatrix}=1/4\begin{bmatrix} 7 & 1&-3 \\ -19& -1 & 11\\ -11& -1 &7 \end{bmatrix}\begin{bmatrix} 7\\-5 \\ 12\end{bmatrix}
on solving we get x=2,y=1 and z=3
Hence the system of equations is consistent and has a unique solution


Last Activity: 11 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments