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Solved: Compute the determinants in Exercises 9–14 by
Chapter 3, Problem 14E(choose chapter or problem)
Compute the determinants in Exercises 9–14 by cofactor expansions. At each step, choose a row or column that involves the least amount of computation.
\(\left|\begin{array}{rrrrr} 6 & 3 & 2 & 4 & 0 \\ 9 & 0 & -4 & 1 & 0 \\ 8 & -5 & 6 & 7 & 1 \\ 2 & 0 & 0 & 0 & 0 \\ 4 & 2 & 3 & 2 & 0 \end{array}\right|\)
Questions & Answers
QUESTION:
Compute the determinants in Exercises 9–14 by cofactor expansions. At each step, choose a row or column that involves the least amount of computation.
\(\left|\begin{array}{rrrrr} 6 & 3 & 2 & 4 & 0 \\ 9 & 0 & -4 & 1 & 0 \\ 8 & -5 & 6 & 7 & 1 \\ 2 & 0 & 0 & 0 & 0 \\ 4 & 2 & 3 & 2 & 0 \end{array}\right|\)
ANSWER:Solution:Step 1 In this problem we need to find the determinant by using cofactor expansions at eachstep, choosing a row or column that involves the least amount of computation meaning row or column containing maximum zeroes..