True or False: A matrix with at least one entry not equal to zero can be a zero matrix.

True or False: Scalar multiplication of any matrix by zero results in a non-zero matrix.

True or False: A 4x4 zero matrix is different from a 3x3 zero matrix.

True or False: If matrix A is a zero matrix, then A^2 is a non-zero matrix.

True or False: A square matrix of any dimension can be a zero matrix.

True or False: A zero matrix always contains only zero elements.

True or False: A zero matrix can only be a square matrix.

True or False: Adding or subtracting a zero matrix from any matrix changes the original matrix.

True or False: A 2x3 zero matrix can have nonzero elements.

True or False: A 1x5 zero matrix has five nonzero elements.