Simplify the Matrix [[18,40],[50,82],[8,64],[32,50]]

Problem

[[18,40],[50,82],[8,64],[32,50]]

Solution

1. Identify the greatest common divisor for all entries in the matrix to simplify by factoring out a scalar.

2. Determine the common factor by checking the divisibility of each element: 18, 40, 50, 82, 8, 64, 32, 50$. All elements are even numbers.

3. Factor out the scalar 2 from every entry in the matrix.

4. Divide each element by 2 to find the remaining matrix entries: 18/2=9 40/2=20 50/2=25 82/2=41 8/2=4 64/2=32 32/2=16 and 50/2=25

Final Answer

[[18,40],[50,82],[8,64],[32,50]]=2*[[9,20],[25,41],[4,32],[16,25]]

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