To solve simultaneous equations using matrices we can use
Cramer's Rule.
Let us consider a set of two simultaneous
equations.
ax + by = e and cx + dy =
f
In matrix notation the equations are written
as:
`|~` a b `~|` `|~`x`~|` = `|~` e
`~|`
`|__` c d `__|` `|__`y`__|` `|__` f
`__|`
x = det [b e , f d] / det[a b , c
d]
y = det [a e , c f] / det[a b , c
d]
The method can be extended to be used for systems of
equations with a larger number of variables also.
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