Simplify the Matrix

Problem

[[17/26,17/26,17/26],[17/26,12/26,17/26],[17/26,17/26,16/26]]

Solution

1. Identify the common factor in all entries of the matrix. Each element has a denominator of 26

2. Factor out the scalar 1/26 from the matrix to simplify the internal entries.

1/26*[[17,17,17],[17,12,17],[17,17,16]]

3. Simplify individual fractions where possible if the scalar is not factored out. In this case, the fractions 12/26 and 16/26 can be reduced by dividing the numerator and denominator by 2

12/26=6/13

16/26=8/13

4. Rewrite the matrix in its simplest fractional form.

Final Answer

[[17/26,17/26,17/26],[17/26,12/26,17/26],[17/26,17/26,16/26]]=[[17/26,17/26,17/26],[17/26,6/13,17/26],[17/26,17/26,8/13]]

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