Compare elements of two matrices

The necessary condition for my "while" loop to keep running is that not all elements of matrix B are smaller than those of matrix A, that is, for the loop to stop it must be true that:
B(i,j) < A(i,j)
for all i and all j. I can compare the two matrices like
C = (B < A)
and get a matrix with 0 and 1 elements, but then the problem converts to checking whether all elements of the matrix C are 1 or not. Is there a way to solve this without using for loops inside the while loop to compare the elements one by one?
Thank you in advance and sorry for my English.

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