Math  /  Algebra

QuestionUse the alternative method for evaluating third-order determinants (finding products along diagonals) to evaluate the determinant. 156145167156145167=\begin{array}{l} \left|\begin{array}{lll} 1 & 5 & 6 \\ 1 & 4 & 5 \\ 1 & 6 & 7 \end{array}\right| \\ \left|\begin{array}{lll} 1 & 5 & 6 \\ 1 & 4 & 5 \\ 1 & 6 & 7 \end{array}\right|=\square \end{array}

Studdy Solution
Subtract the second sum from the first sum to find the determinant:
8961=28 89 - 61 = 28
The determinant of the matrix is:
28 \boxed{28}

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