Let A be the coefficient matrix of the linear system x+y=1 -2y+4z = 3 2x+y=0 Write the system as the matrix equation AX = B. Verify that your matrices satisfy the equation. a) [-1 0 1] Use Gauss-Jordan elimination to show that A= 2 0 -1 b) Solve the system using the inverse matrix given in b) above and giv the solution set of the system. c)

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Chapter2: Second-order Linear Odes
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Linear Algebra
8.
Let A be the coefficient matrix of the linear system
x+y=1
-2y+4z = 3
2x+y = 0
a)
Write the system as the matrix equation AX = B . Verify that your
matrices satisfy the equation.
[-1 0 1
Use Gauss-Jordan elimination to show that A = 2 0 -1
b)
Solve the system using the inverse matrix given in b) above and giv
the solution set of the system.
c)
Transcribed Image Text:8. Let A be the coefficient matrix of the linear system x+y=1 -2y+4z = 3 2x+y = 0 a) Write the system as the matrix equation AX = B . Verify that your matrices satisfy the equation. [-1 0 1 Use Gauss-Jordan elimination to show that A = 2 0 -1 b) Solve the system using the inverse matrix given in b) above and giv the solution set of the system. c)
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