Simplify the Matrix [[1,5],[2,9^-1]]

Problem

[[1,5],[2,9^(−1)]]

Solution

1. Identify the element in the matrix that requires simplification, which is the term 9^(−1) in the second row and second column.

2. Apply the rule for negative exponents, which states that a^(−n)=1/(a^n)

3. Substitute the simplified value back into the matrix structure.

9^(−1)=1/9

Final Answer

[[1,5],[2,9^(−1)]]=[[1,5],[2,1/9]]

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