Solve system of linear equations, using matrix method. 5 x+2 y=3 3 x+2 y=5

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3 and 4 .Determinants and Matrices

easy

Solve system of linear equations, using matrix method.

$5 x+2 y=3$ $3 x+2 y=5$

Option A

Option B

Option C

Option D

Solution

The given system of equation can be written in the form of $A X=B$, where

$A=\left[\begin{array}{ll}5 & 2 \\ 3 & 2\end{array}\right], X\left[\begin{array}{l}x \\ y\end{array}\right]$ and

$B=\left[\begin{array}{l}3 \\ 5\end{array}\right]$

Now,

$|A|=10-6=4 \neq 0$

Thus $A$ is non-singular, Therefore, its inverse exists.

Standard 12

Mathematics

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