Consider the Following Matrix $$A = \left[ \begin{array} { c c c c } 1 & 6 & 8 & 10 \\- 5 & 7 & 1 & 5 \\7 & 10 & 12 & 4 \\6 & 5 & - 1 & 9\end{array} \right]$$

question 204

Multiple Choice

Consider the following matrix. $$A = \left[ \begin{array} { c c c c } 1 & 6 & 8 & 10 \\- 5 & 7 & 1 & 5 \\7 & 10 & 12 & 4 \\6 & 5 & - 1 & 9\end{array} \right]$$ Form matrix B by interchanging rows 1 and 3 of matrix A . Now use your calculator to show that $| B | = - | A |$ .

• A) \(B = \left[ \begin{array} { c c c c }
• 8 & 6 & 1 & 10 \\
• 1 & 7 & - 5 & 5 \\
• 12 & 10 & 7 & 4 \\
• - 1 & 5 & 6 & 9
• \end{array} \right] , | A | = - 8,436 , | B | = 8,436\)
• B) \(B = \left[ \begin{array} { c c c c }
• 8 & 6 & 1 & 10 \\
• 1 & 7 & - 5 & 5 \\
• 12 & 10 & 7 & 4 \\
• - 1 & 5 & 6 & 9
• \end{array} \right] , | A | = - 7,300 , | B | = 7,300\)
• C) \(B = \left[ \begin{array} { c c c c }
• 1 & 6 & 8 & 10 \\
• - 5 & 7 & 1 & 5 \\
• 7 & 10 & 12 & 4 \\
• 6 & 5 & - 1 & 9
• \end{array} \right] , | A | = - 8,436 , | B | = 8,436\)
• D) \(B = \left[ \begin{array} { c c c c }
• 1 & 6 & 8 & 10 \\
• - 5 & 7 & 1 & 5 \\
• 7 & 10 & 12 & 4 \\
• 6 & 5 & - 1 & 9
• \end{array} \right] , | A | = - 7,300 , | B | = 7,300\)

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