Question

Use Maple's Matrix command to input the augmented matrix that corresponds to the following system of linear equations: $8x + 3y + 6z + 2w = 88$ $7x + 6y + 4z + 4w = 68$ $7x + 6y + 3z + 5w = 38$ The corresponding augmented matrix is: (Be sure to retain the left to right ordering of the variables in the system of equations given in the augmented matrix, so that entries in column 1 correspond to $x$, entries in column 2 correspond to $y$, entries in column 3 correspond to $z$ and entries in column 4 correspond to $w$.) The above system is comprised of 3 equations with 4 unknowns/variables. Without further calculation, which of the following statements is therefore most plausible: If the system is consistent, then there will be an infinite number of solutions that will have to be expressed in terms of at least one parameter. There is guaranteed to be one unique solution for each of the variables $x$, $y$, $z$ and $w$ that satisfies all three equations. The linear system degenerates to a nonlinear system that can only be solved via the substitution method.

          Use Maple's Matrix command to input the augmented matrix that corresponds to the following system of linear equations:
$8x + 3y + 6z + 2w = 88$
$7x + 6y + 4z + 4w = 68$
$7x + 6y + 3z + 5w = 38$
The corresponding augmented matrix is:
(Be sure to retain the left to right ordering of the variables in the system of equations given in the augmented matrix, so that entries in column 1 correspond
to $x$, entries in column 2 correspond to $y$, entries in column 3 correspond to $z$ and entries in column 4 correspond to $w$.)
The above system is comprised of 3 equations with 4 unknowns/variables. Without further calculation, which of the following statements is therefore most
plausible:
If the system is consistent, then there will be an infinite number of solutions that will have to be expressed in terms of at least one parameter.
There is guaranteed to be one unique solution for each of the variables $x$, $y$, $z$ and $w$ that satisfies all three equations.
The linear system degenerates to a nonlinear system that can only be solved via the substitution method.

Use Maple's Matrix command to input the augmented matrix that corresponds to the following system of linear equations:
8x + 3y + 6z + 2w = 88
7x + 6y + 4z + 4w = 68
7x + 6y + 3z + 5w = 38
The corresponding augmented matrix is:
(Be sure to retain the left to right ordering of the variables in the system of equations given in the augmented matrix, so that entries in column 1 correspond
to x, entries in column 2 correspond to y, entries in column 3 correspond to z and entries in column 4 correspond to w.)
The above system is comprised of 3 equations with 4 unknowns/variables. Without further calculation, which of the following statements is therefore most
plausible:
If the system is consistent, then there will be an infinite number of solutions that will have to be expressed in terms of at least one parameter.
There is guaranteed to be one unique solution for each of the variables x, y, z and w that satisfies all three equations.
The linear system degenerates to a nonlinear system that can only be solved via the substitution method.

Added by Ryan L.

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