Example 3.25 uses the inverse of the coefficient matrix to solve a linear system. This method can be used to solve the following system. 3x + y = -1 11x + 4y = 2 State the coefficient matrix A. (Order the columns from x₁ to x₂ Do not perform any row operations.) A = Find the inverse of the coefficient matrix. A-1 = Give b such that Ax = b. b = Solve the given system using the method of Example 3.25. X =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Example 3.25 uses the inverse of the coefficient matrix to solve a linear system. This method can be used to solve the following system.
3x + y = -1
11x + 4y = 2
State the coefficient matrix A. (Order the columns from x₁ to x₂ Do not perform any row operations.)
A =
Find the inverse of the coefficient matrix.
A-1 =
Give b such that Ax = b.
b =
Solve the given system using the method of Example 3.25.
X =
Transcribed Image Text:Example 3.25 uses the inverse of the coefficient matrix to solve a linear system. This method can be used to solve the following system. 3x + y = -1 11x + 4y = 2 State the coefficient matrix A. (Order the columns from x₁ to x₂ Do not perform any row operations.) A = Find the inverse of the coefficient matrix. A-1 = Give b such that Ax = b. b = Solve the given system using the method of Example 3.25. X =
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