Question 48433
<pre><font size = 5><b>find the inverse of the matrix.
[-9  5]
[ 6 -3]

The formula for the inverse of 

[a b]
[c d]

is 

<u>   1   </u> <sub>.</sub>[ d -b] 
ad - bc  [-c  a]

So the inverse of

[-9  5]
[ 6 -3]

is 

<u>       1       </u> . [-3 -5] 
(-9)(-3)-(5)(6)   [-6 -9]

  <u>  1  </u> . [-3 -5] 
  27-30   [-6 -9]

  <u>  1 </u> .[-3 -5] 
   -3   [-6 -9]

       [1  5/3]
       [2   3 ] 
     
Edwin</pre>