Some ideas after reading Introduction to Linear Algebra from Prof. Gilbert Strang.

I think the concepts of matrix transposition and multiplication can be visualized through a 3D cube. In this visualization, the left square represents the original matrix A (read from top to bottom), while the upper square represents the transposed matrix A’ (read from up left to down right). Interestingly, the two matrices appear symmetric with respect to the intersecting axis of the cube. 

Additionally, matrix multiplication can be represented in the right square, where each small cell is the sum of the products of corresponding elements from the left and upper squares. This method could also be used to prove some matrix theories. For example, symmetric matrix properties would be proved directly from visual.

This idea has led me to wonder if there has been any research into the visualization of matrix concepts like inverse matrices, and whether such representations have applications beyond just visualization.

Do research on it later~