Adjugate matrix

A matrix is like a grid filled with numbers. The adjugate of that matrix is like a new version of that same grid, but with the numbers shuffled around. To find the adjugate matrix of the original matrix, each number in the original matrix is replaced with a new number. The new number can be found by multiplying the original number by the numbers around it, but in a special way. The number to the top left multiplied by the number to the bottom right, the number to the top right multiplied by the number to the bottom left and so on. Then all these numbers are added up and put in the adjugate matrix.