Linear System - Three Variables

Let

$A=$

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ 1 0 1 0 5 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$ 0 0 1 0 0 0 0 0 1 -3 0 0 0 0 0

.

Is the matrix in row echelon form? (input Yes or No)
If this matrix were the augmented matrix for a system of linear equations, would the system have no, unique, or many solutions (input no or unique or many)?