Matrix is of order and matrix is of order

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Matrix

R

is of order

4\times 5

and matrix

S

is of order

3\times 7

. They cannot be added as they are. Determine the order of the largest possible sub-matrices (one from

R

and one from

S

) that can be added together.