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Question 1 [10 points] Solve the following system of linear equations: $x_1 - 2x_2 - 2x_3 - x_4 = -7$ $-3x_1 + 7x_2 + 8x_3 + 4x_4 = 25$ $x_1 + x_2 + 5x_3 + 3x_4 = 5$ If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has infinitely many solutions Number of Parameters: 2 $egin{bmatrix} x_1 x_2 x_3 x_4 end{bmatrix} = egin{bmatrix} -7 4 0 0 end{bmatrix} + s egin{bmatrix} 2 -1 -1 0 end{bmatrix} + t egin{bmatrix} 0 0 0 1 end{bmatrix}$

          Question 1 [10 points]
Solve the following system of linear equations:
$x_1 - 2x_2 - 2x_3 - x_4 = -7$
$-3x_1 + 7x_2 + 8x_3 + 4x_4 = 25$
$x_1 + x_2 + 5x_3 + 3x_4 = 5$
If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system.
You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
The system has infinitely many solutions
Number of Parameters: 2
$egin{bmatrix} x_1  x_2  x_3  x_4 end{bmatrix} = egin{bmatrix} -7  4  0  0 end{bmatrix} + s egin{bmatrix} 2  -1  -1  0 end{bmatrix} + t egin{bmatrix} 0  0  0  1 end{bmatrix}$

Question 1 [10 points]
Solve the following system of linear equations:
x1 - 2x2 - 2x3 - x4 = -7
-3x1 + 7x2 + 8x3 + 4x4 = 25
x1 + x2 + 5x3 + 3x4 = 5
If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system.
You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
The system has infinitely many solutions
Number of Parameters: 2
eginbmatrix x1 x2 x3 x4 endbmatrix = eginbmatrix -7 4 0 0 endbmatrix + s eginbmatrix 2 -1 -1 0 endbmatrix + t eginbmatrix 0 0 0 1 endbmatrix

Added by Steven B.

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