Question: 1 . Find the augmented matrix representing the system of equations. x 1 + x 2 + x 3 = 5 x 1 + 5
1 . Find the augmented matrix representing the system of equations.
x1 + x2 + x3 = 5
x1 + 5x2 + x3 = 4
x1 + 4x2 + 5x3 = 3
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2 . Find the augmented matrix representing the system of equations.
4x1 + x2 + 5x3 + 4x4 + 2x5 = 4
x1 + x2 + 3x3 + 5x4 + 3x5 = 2
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3 . Interpret the row-reduced matrix as the solution of a system of equations. (Enter your answers as a comma-separated list. If the system is inconsistent, answer INCONSISTENT. If the system is dependent, parametrize the solutions in terms of the parameter t.)
1006
(010 2)
0014
(x1, x2, x3) =( ___ )
4 . Use an appropriate row operation or sequence of row operations to find the equivalent row-reduced matrix.
0103
(1008)
0016
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5 . Use an appropriate row operation or sequence of row operations to find the equivalent row-reduced matrix.
1018
(0104)
0013
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6 . Solve the system of equations by the Gauss-Jordan method. (Enter your answers as a comma-separated list. If the system is inconsistent, answer INCONSISTENT. If the system is dependent, parametrize the solutions in terms of the parameter t.)
x1 + x2 + x3 = 10
{ x1 + 2x2 + 2x3 = 19
x1 + 3x2 + 2x3 = 23
(x1, x2, x3) = ( ___ )
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