how do you solve simultaneous equations using matrices?

Expert Answers
justaguide eNotes educator| Certified Educator

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.

iislas104 | Student

click the link below -- You are given step by step instructions, and if it still does not make sense it inculdes a video explanation of your question. Hope this helps you.