How to define a structure in Latex that illustrates the rule for expanding a determinant?

Question

TeX

Good afternoon, I'm trying to set up a diagram without a picture using TEXa functions. I need to cross out the lines obliquely or connect them with a line like a diagram. Packages associated with tables / charts allow you to do this, but it’s very three-story, is it possible to somehow simplify the task?

Answer 1

1 , 2 , 3 , 4 .