Adding Arrows that come through Numbers within Matrices

Question

Here is a pic of what I need.

Need help for achieving this.

The Arrow pierced  numbers in rows and columns here.

documentclass[8pt,letterpaper]{article}  
usepackage[left=8mm,top=6mm,bottom=6mm]{geometry}
usepackage{amsmath}
usepackage{tikz}
usetikzlibrary{arrows.meta,
                tikzmark}   
usepackage{nccmath}

begin{document}
[
begin{bmatrix}
1 & 2 & -1
-2 & 0 & 1
1 & -1 & 0
end{bmatrix}
begin{bmatrix}
    1 & 1 & 2 
    1& 1 & 1
    2 & 3 & 4
end{bmatrix}
=
begin{bmatrix}
    1 & 0 & 0 
    0 & 1 & 0
    0 & 0 & 1
end{bmatrix}
]
end{document}

F. Pantigny · Accepted Answer

You can use the extension nicematrix which creates Tikz nodes under each cell of the matrix.
documentclass{article}
usepackage{tikz} %nicematrix does not load tikz. Must load tikz for arrows.meta
usepackage{nicematrix} 
usetikzlibrary{arrows.meta}
begin{document}
$begin{bNiceMatrix}[name=A]
1 & 2 & -1 
-2 & 0 & 1 
1 & -1 & 0 
end{bNiceMatrix}$
%
hspace{1cm}
$begin{bNiceMatrix}[name=B]
1 & 1 & 2 
1 & 1 & 1 
2 & 3 & 4 
end{bNiceMatrix}$
%
begin{tikzpicture}%
    [ remember picture, 
      overlay, 
      every path/.style = 
        { -Straight Barb ,
          color=red,
          very thick,
          semitransparent,
          shorten >=-1pt,
          shorten <=-1pt } ]
 draw (A-1-1.west) -- (A-1-3.east) ;
 draw (B-1-2.north) -- (B-3-2.south) ;
end{tikzpicture}
end{document}

js bibra · Answer

A startup to point you in the right direction -- I think you will be able to take it from here

documentclass{article}
usepackage[utf8]{inputenc}
usepackage{amsmath}
usepackage{tikz}
usetikzlibrary{matrix, arrows.meta}
begin{document}

begin{tikzpicture}[>=Stealth, baseline=(mybaseline)]
matrix[
    matrix of math nodes,
    left delimiter=(,
    right delimiter=),
    inner xsep=2pt,
    ] (mymatr) {%
    0 & 1 & 2 & 3 
    vdots & vdots & ddots & vdots 
    {i-2} & {i-1} & cdots & {i+j-3} 
    y_{i-1}% there was a little typo here 
    & y_{i} & cdots & y_{i+j-2} [12pt]
    y_{i} & y_{i+1} & cdots & y_{i+j-1} 
    y_{i+1} & y_{i+2} & cdots & y_{i+j} [-6pt]
    vdots & vdots & ddots & vdots 
    y_{2i-1} & y_{2i} & cdots & y_{2i+j-2} 
    };
coordinate (mybaseline) at ([yshift=-9pt]mymatr-4-1.south west);
coordinate (mystart) at ([yshift=-6pt]mymatr-4-1.south west);
coordinate (mystop)  at ([yshift=-6pt]mymatr-4-4.south east);
coordinate (myne)  at ([xshift=16pt]mymatr.north east);
coordinate (myse)  at ([xshift=16pt]mymatr.south east);
coordinate (mynw)  at ([xshift=-16pt]mymatr.north west);
coordinate (mysw)  at ([xshift=-16pt]mymatr.south west);
draw (mystart) -- (mystop);
begin{scope}[every node/.style={midway},
every path/.style={->}]
draw ([yshift=-10pt]mymatr.north west) -- ([yshift=-10pt]mymatr.north east) node[above] {$j$};
end{scope}
end{tikzpicture}

end{document}

Adapted from a solution provided by @CarLaTeX -- https://tex.stackexchange.com/a/430681/197451

Zarko · Answer

With use of the tikzmark library from tikz package. To get showed result you need to compile MWE at least twice:

documentclass{article}
usepackage{amsmath}
usepackage{tikz}
usetikzlibrary{arrows.meta,
                tikzmark}

begin{document}
[
begin{bmatrix}
tikzmarknode{a1}{1} 
    &  2 & tikzmarknode{a2}{-1}    
 -2 &  0 &  1   
  1 & -1 &  0   
end{bmatrix}
begin{bmatrix}
  1 & tikzmarknode{b1}{1} 
        & 2        
  1 & 1 & 1         
  2 & tikzmarknode{b2}{3} 
        & 4        
end{bmatrix}
    begin{tikzpicture}[overlay,remember picture, 
arr/.style = {draw=red, -Straight Barb, very thick, semitransparent,
              shorten >=-1pt, shorten <=-1pt}
                        ]
draw[arr] (a1.west)  -- (a2.east);
draw[arr] (b1.north) -- (b2.south);
    end{tikzpicture}
]
end{document}

Adding Arrows that come through Numbers within Matrices

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