As we know that 2×3 = 2+2+2 = 6;
so similarly what does matrix multiplication represents?
It means the consecutive application of two linear transformations represented by the matrices.
Here's another explanation. A matrix can be thought of as a kind of function, one that takes a vector as its input, and produces another vector as its output. Multiplication of two matrices is equivalent to the composition of the functions that are represented by the matrices. I've explained this in terms of functions, but the usual terminology is linear transformations, mappings between vectors in one space to vectors in possibly a different space.
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