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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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