SOLUTION: find the inverse of the matrix. [-9 5] [6 -3] note -the numbers are suppossed to be in one big bracket,not separate brackets

Algebra ->  Matrices-and-determiminant -> SOLUTION: find the inverse of the matrix. [-9 5] [6 -3] note -the numbers are suppossed to be in one big bracket,not separate brackets       Log On


   



Question 48433: find the inverse of the matrix.
[-9 5]
[6 -3]
note -the numbers are suppossed to be in one big bracket,not separate brackets

Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
find the inverse of the matrix.
[-9  5]
[ 6 -3]

The formula for the inverse of 

[a b]
[c d]

is 

   1    .[ d -b] 
ad - bc  [-c  a]

So the inverse of

[-9  5]
[ 6 -3]

is 

       1        . [-3 -5] 
(-9)(-3)-(5)(6)   [-6 -9]

    1   . [-3 -5] 
  27-30   [-6 -9]

    1  .[-3 -5] 
   -3   [-6 -9]

       [1  5/3]
       [2   3 ] 
     
Edwin