To find: The partial fraction decomposition using system of equations and solve using matrices.
Answer to Problem 92E
The partial fraction decomposition is
Explanation of Solution
Given information: A rational expression,
Calculation:
Rewriting the expression,
Multiplying each side by
Two polynomials are equal if and only if the coefficients of like terms are equal. Equating the coefficients we can write the system of linear equations as:
Now the augmented matrix can be written as,
Using row transformations
Now,
The partial fraction decomposition is,
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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