Kata

When multiplying matrices, the $elemen{t}_{ij}element\_\{ij\}$ of the product matrix C is equal to the sum of pairwise products of the elements of $ro{w}_{i}row\_i$ of the left matrix A and elements of $colum{n}_{j}column\_j$ of the right matrix B. For this kata, we will redefine matrix multiplication by removing the step with summation so that division of matrices can be unambiguously defined:

Task:

Implement a function matrix_div with 3 parameters:

• result represents the product matrix C

• factor represents one of the two factors (either A or B).

• position is either 0 or 1: 0 means that given factor is the left factor while 1 means it's the right one.

Func should return the other factor.

Examples:

matrix_div([[[5, 14], [6, 16]], [[15, 28], [18, 32]]], [[1, 2], [3, 4]], 0) should return [[5, 6], [7, 8]]

matrix_div([[[5, 14], [6, 16]], [[15, 28], [18, 32]]], [[1, 2], [3, 4]], 1) should return [[5, 4], [15, 8]]

Constraints:

• $A[k\times k],B[k\times k]A[k\times k],\; B[k\times k]$ - for convenience

• $1\le k\le 301\; \le \; k\; \le \; 30$

• $A_{ij},B_{ij}\in ZA\_\{ij\},\; B\_\{ij\}\; \in \; Z$

• $1\le A_{ij},B_{ij}\le 1001\; \le \; A\_\{ij\},\; B\_\{ij\}\; \le \; 100$