Find the Trace

Problem

tr(1)

Solution

1. Identify the main diagonal elements of the given 5×5 matrix. The main diagonal consists of the elements (a_i*i) where the row index equals the column index.

2. List the diagonal entries starting from the top-left corner to the bottom-right corner. The entries are 1 5 15 3 and 6

3. Apply the formula for the trace of a matrix, which is the sum of its diagonal elements.

tr(A)=(∑_i=1^n)((a_i*i))

4. Calculate the sum of the identified diagonal elements.

1+5+15+3+6=30

Final Answer

tr(1)=30

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