Convolution kernel question

Hi, i've been wondering why kernels of smoothing and sharpening function are matrices with some of all elements is 1 ?
E.g:
Smoothing:
1/9 1/9 1/9
1/9 1/9 1/9
1/9 1/9 1/9
Sharpening:
-1 -1 -1
-1 9 -1
-1 -1 -1

Do you mean "the sum of all elements is 1"?

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