SOLUTION: Use the fact that if {{{A=(matrix(2,2,a,b,c,d))}}}
then
{{{A^(-1) = (1/(ad-bc))(matrix(2,2,d,-b,-c,a))}}} to find the inverse of each matrix, if possible.
Algebra ->
Matrices-and-determiminant
-> SOLUTION: Use the fact that if {{{A=(matrix(2,2,a,b,c,d))}}}
then
{{{A^(-1) = (1/(ad-bc))(matrix(2,2,d,-b,-c,a))}}} to find the inverse of each matrix, if possible.
Log On
-------------------------------------
You just need to learn how to substitute numbers for letters,
which is very easy to do. All you do is:
1. Put 0 or (0) everywhere there is an "a",
2. Put 3 or (3) everywhere there is a "b".
3. Put 4 or (4) everywhere there is a "c".
4. Put -2 or (-2) everywhere there is a "d".
So comparing the matrix
to your matrix,
then do the substituting in
and you will have:
which is the inverse of that matrix, unsimplified.
Now you only have to simplify everything:
Now distribute by multiplying the by every
element in the matrix.
Then simplify
Edwin