Adding matrix elements (entering matrices into other matrix)

my code:
A= zeros(3,3)
B = ones(2,2)
C = ones(2,2)
A(1:2,1:2) = B
A(2:3,2:3) = C
right now it gives: A=
1 1 0
1 1 1
0 1 1
I want the 2,2 position to add instead of simply replace. I want the final output to be:
A=
1 1 0
1 2 1
0 1 1
thanks

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