Find the trace of the following matrix: \[\begin{pmatrix} 4 & 7 & 3 \ 2 & -1 & 5 \ 1 & 0 & 6 \end{pmatrix}\]
Solution
Step 1 :The trace of a square matrix is the sum of the elements on the main diagonal (from the top left to the bottom right). So, we have to find the sum of the elements 4, -1, and 6.
Step 2 :Calculating this, we get \(4 + (-1) + 6 = 9\).