$$Fill in the Blanks $(3$ points each, $15$ points total$)$

If $A=([-2,0,-1],[4,-3,8]),$ then $A^T=$

If $A=([-1,4,5],[2,1,-6]),B=([-6,-5,1],[0,3,-4]),$ then $A+B=$

If $x=([2],[4],[0],[3]),y=([-1],[2],[5],[-4]),$ then $3x-2y=$

The determinant $|[-1,5,-3],[0,-2,1],[0,0,4]|=$

For the linear transformation $L$:$R^{2}R$ defined by $L(x)=x_1-x_2,$ the kernel of $L$ is