In problems 8-10, solve the given system of equations by Gaussian elimination (row echelon form) and Gauss-Jordan elimination (reduced row echelon form). 8. x+y 2z = 14 2xy + z = 0 6x + 3y + 4z = 1

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2 1 0]
7. A-1 2 1
1 21
In problems 8-10, solve the given system of equations by Gaussian elimination (row echelon form)
and Gauss-Jordan elimination (reduced row echelon form).
8.
9.
10.
{
x+y=2z = 14
2x = y + z = 0
6x + 3y + 4z = 1
y +z = -5
5x + 4y - 162 = -10
x-y-5z = 7
2x+y+z=4
10x - 2y + 2z = -1
6x - 2y + 4z = 8
In problems 11 - 15, find the eigenvalues and eigenvectors of the given matrix.
-1 2
-78
11. A =
Transcribed Image Text:2 1 0] 7. A-1 2 1 1 21 In problems 8-10, solve the given system of equations by Gaussian elimination (row echelon form) and Gauss-Jordan elimination (reduced row echelon form). 8. 9. 10. { x+y=2z = 14 2x = y + z = 0 6x + 3y + 4z = 1 y +z = -5 5x + 4y - 162 = -10 x-y-5z = 7 2x+y+z=4 10x - 2y + 2z = -1 6x - 2y + 4z = 8 In problems 11 - 15, find the eigenvalues and eigenvectors of the given matrix. -1 2 -78 11. A =
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