Simplify the Matrix [[5,0.20],[10,0.30]]

Problem

[[5,0.20],[10,0.30]]

Solution

1. Identify the matrix elements and determine if any common factors can be extracted from the rows or columns to simplify the representation.

2. Factor out a constant from the entire matrix if possible. In this case, each element is a multiple of 0.10

3. Rewrite the matrix by dividing each entry by 0.10 and placing the scalar outside the matrix.

0.10*[[50,2],[100,3]]

4. Alternatively, express the decimal values as fractions to maintain exact values.

[[5,1/5],[10,3/10]]

Final Answer

[[5,0.20],[10,0.30]]=[[5,1/5],[10,3/10]]

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