Consider the matrix \(\rm A=\left(\begin{array}{rrr} 1 & 3 & 1 \\ 0 & 1 & -1 \\ 0 & 0 & 5 \end{array}\right) \), then which of the following is the correct Jordan form of A ?
1
\(\left(\begin{array}{lll} 1 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 5 \end{array}\right)\)
2
\(\left(\begin{array}{lll} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 5 \end{array}\right)\)
3
\(\left(\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 5 \end{array}\right)\)
4
\(\left(\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 5 \end{array}\right)\)
5
Question Not Attempted