Determine the number of solutions to the augmented matrix.
$\left[\begin{array}{rrrrr}
1 & 0 & 0 & 4 & 3 \
0 & 1 & 0 & 3 & -1 \
0 & 0 & 1 & 2 & 1 \
0 & 0 & 0 & 1 & 0
\end{array}\right]$
A) infinitely many
B) 2 solutions
C) 1 solution
D) no solutions

Question

Quizplus · Accepted Answer

The given matrix is in row-echelon form with each leading entry (pivot) in a distinct row and column, indicating a unique solution for each variable.

Determine the Number of Solutions to the Augmented Matrix [100430103−10012100010]\left[\begin{array}{rrrrr}1 & 0 & 0 & 4 & 3 \\0 & 1 & 0 & 3 & -1 \\0 & 0 & 1 & 2 & 1 \\0 & 0 & 0 & 1 & 0\end{array}\right]​1000​0100​0010​4321​3−110​​

Determine the Number of Solutions to the Augmented Matrix $\left[\begin{array}{rrrrr}1 & 0 & 0 & 4 & 3 \\0 & 1 & 0 & 3 & -1 \\0 & 0 & 1 & 2 & 1 \\0 & 0 & 0 & 1 & 0\end{array}\right]$