how to solve 2 equations w/ matrices the fastest way?

Question

whats a way to solve system of equations using matrices?

Answer 1

Set up system of equations in matrix form and invert the matrix.

Answer 2

Matrixes are not complicated, but they can take time. The fastest way is to look at the back of a book where the answers are (lol), but the honest way is to practise. There is no faster way then after practice.

Answer 3

The matrix form of equations with two variables x and y

ax + by = e
cx + dy = f

is

|a b| |x| = |e |
|c d| |y| = | f |

so

|x| = |c| | a b | (-1)
|y| = |d| | c d |

The inverse of the coefficient matrix is

{1/(ad-bc)} |d -b|
....................|-c a|

You now use normal matrix muliplication techniques to get the solution to matrix

|x|
|y|

Answer 4

Cramers rule ...provides a simple and fast method of solution
e.g:ax+by=p------------(1)
cx+dy=q------------(2)
soin matrix form it can be written as
matrix[ a b,c d]* matrix[x,y]=matriix[p,q]
there fore x=det[p b,q d]/det[a b,c d]
and y=det[a p,c q]/det[a b,c d]

Note:read the numbers on left side of comma as 1st row and to the right side of comma as 2nd row

Answer 5

matrice method / cramer's rule

Answer 6

you use your brain to solve it dumbASS