Consider the nonhomogeneous system: -- (: :)-+() a. Write a fundamental matrix for the associated homogeneous system b. Compute the inverse of X. х1— c. Multiply by the nonhomogenity g(t) and integrate. = | x-'(t)g(t) dt = d. Write the general solution to the system. z(t) = c1 + C2

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 7CM: Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]
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Consider the nonhomogeneous system:
-- (: :)-+()
a. Write a fundamental matrix for the associated homogeneous system
b. Compute the inverse of X.
х1—
c. Multiply by the nonhomogenity g(t) and integrate.
= | x-'(t)g(t) dt =
d. Write the general solution to the system.
z(t) = c1
+ C2
Transcribed Image Text:Consider the nonhomogeneous system: -- (: :)-+() a. Write a fundamental matrix for the associated homogeneous system b. Compute the inverse of X. х1— c. Multiply by the nonhomogenity g(t) and integrate. = | x-'(t)g(t) dt = d. Write the general solution to the system. z(t) = c1 + C2
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