Answered: Use an inverse matrix to solve the…

Use an inverse matrix to solve the following system of equations. First write the system as a matrix equation Ax = b x₁ + x₂ - 2x3 = 0 x₁2x₂ + x3 = 0 - Х1 -Х2-x3 = -1

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

Section10.3: Multiplication Of Matrices

Problem 38E: Let A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two...

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Question

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2.3
Use an inverse matrix to solve the following system of equations. First write the system as a
matrix equation Ax = b
x₁ + x₂ - 2x3 = 0
x₁2x₂ + x3 = 0
X1 X2 X3 = -1

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Step 1: Find det(A)

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Step 2: Find adj(A)

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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.