Consider the matrix A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(1324). What is the sum A+ATA + A^TA+AT?
(2558)\begin{pmatrix} 2 & 5 \\ 5 & 8 \end{pmatrix}(2558)
(2468)\begin{pmatrix} 2 & 4 \\ 6 & 8 \end{pmatrix}(2648)
(1554)\begin{pmatrix} 1 & 5 \\ 5 & 4 \end{pmatrix}(1554)
(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}(0000)