Suppose a linear system of three equations in three variables is being solved by making use of elementary row operations and we arrive at the following matrix:
$$\left[\begin{matrix}1 & 2&1&/0 \ 0 & 1&1&/2\ 0&0&0& /0\end{matrix}\right]$$
What does it mean?
a) That (t,t,0), t element IR is a solution
b) That (t,t,r), t,r element IR is a solution
c) That (t-2, 1-t, t,) t element IR is a solution
d) The original system of equation has no solution.
e) None of the above.

Question

Suppose a linear system of three equations in three variables is being solved by making use of elementary row operations and we arrive at the following matrix:
$$\left[\begin{matrix}1 & 2&1&/0 \ 0 & 1&1&/2\ 0&0&0& /0\end{matrix}\right]$$
What does it mean?
a) That (t,t,0), t element IR is a solution
b) That (t,t,r), t,r element IR is a solution
c) That (t-2, 1-t, t,) t element IR is a solution
d) The original system of equation has no solution.
e) None of the above.

anonymous · Answer

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