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Consider the following system of equations:

$3x + 2y = 1$

$4x + 7z = 1$

$x + y + z = 3$

$x - 2y + 7z = 0$

The number of solutions for this system is ______________

Since equation (2) - equation (1) produces equation (4), we have 3 independent equations in 3 variables, hence unique solution.

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sorry for my handwriting!

Can someone plz find the rank of thie matrix using row transformations.I m not able to do so.Plz help
rank(A) = rank(AB) = n (no. of unknowns) =3
Even i am getting rank as 4 although its not possible.
Rank will be 4 if you solve all 4 equations together. But note that 2 rows in Echelon form will be identical.