Solve by using Matrix Method & Cramer's Rule | Matrices Ki Equation Ko Kaise Solve Kare ?

 

MATRIX METHOD:

    Use matrix method to solve the following system of linear equations.

` x + 2 y + z = 8 `

` 2 x - y + z = 3 `

` x + y - z = 0 `

Solution:

    The given system can be written in the matrix form AX=B, as 

` \begin{bmatrix}a & b \\c & d \end{bmatrix} `

` \begin{bmatrix}2&\;\;\;4\\3&-4\end{bmatrix} `

` \begin{bmatrix} 11 & 21 & 21\\  212 & 2 & 12 \end{bmatrix} `

` \left(\begin{array}{c}54\\ 23\end{array}\right) `

` \begin{vmatrix}54&5\\3&3\end{vmatrix} `

` \begin{bmatrix}&\\&\end{bmatrix} `

CRAMER'S RULE:

    

    Use cramer's rule to solve the following system of linear equations.

` x + 2 y + z = 8 `

` 2 x - y + z = 3 `

` x + y - z = 0 `

Solution:

` \ begin{ b matrix } 234 \ \ 23 \ end{ b matrix } `