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 =

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 =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.4: Matrix Inverses

Problem 35E

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Similar questions

Write the system of equations that that corresponds to the augmented matrix. 202. [103120012| 1 23]
Let A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two equations in two unknowns. Solve the system and substitute into the matrix equation to check you results.

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