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| PAGE: 402 | SET: Exercises | PROBLEM: 1 |
The rational expression is 
.
Rewrite the expression using partial decomposition.
Find the values of 
and 
.
Multiple each side by the denominator fraction.
Equate the coefficent of 
and constant.
and 
.
System of equations are and .
Write the system of equations into matrix form 
, where 
is coefficient matrix, 
is variable matrix and 
is constant matrix.
Find variable matrix .
.
Inverse of a 
matrix : 
.
.
The solution set is .
Therefore 
and 
.
Substitute the and values in equation 
.
The partial decomposed function is
The partial decomposed function is 
.
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