How do I subtract two matrices?

How do I subtract two matrices?

To subtract two matrices, you simply subtract the corresponding elements from each matrix. For example, if you have Matrix A and Matrix B, the result Matrix C will have elements C[i][j] = A[i][j] - B[i][j].

Can you show me an example with numbers?

Sure! If Matrix A is [[3, 5], [2, 4]] and Matrix B is [[1, 2], [3, 1]], then:

C[0][0] = 3 - 1 = 2, C[0][1] = 5 - 2 = 3, C[1][0] = 2 - 3 = -1, C[1][1] = 4 - 1 = 3.

So, Matrix C is [[2, 3], [-1, 3]].

What if the matrices are of different sizes?

If the matrices are of different sizes, you cannot subtract them. Matrix subtraction requires both matrices to have the same dimensions.

Are there any special cases I should be aware of?

Yes, one special case is when one of the matrices is a zero matrix. Subtracting a zero matrix from another matrix leaves the original matrix unchanged.