Adding subtracting multiplying matrices

A matrix is a rectangular array of numbers arranged in rows and columns.

The order of a matrix is defined by the number of rows and columns it contains, expressed as 'm x n'.

No, you can only add matrices that have the same order.

The result is a new matrix where each element is the sum of the corresponding elements of the original matrices.

The result is a new matrix where each element is the difference of the corresponding elements of the original matrices.

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.

The order of the resulting matrix is m x p.

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

The zero matrix is a matrix in which all elements are zero.

The transpose of a matrix is obtained by swapping its rows and columns.