Give a Step-By-Step Explanation of How to Evaluate the Determinant $$\left| \begin{array} { c c c } 5 & 0 & 4 \\1 & - 4 & 6 \\7 & 0 & 9\end{array} \right|$$

question 226

Multiple Choice

Give a step-by-step explanation of how to evaluate the determinant. Match sequence of steps. $$\left| \begin{array} { c c c } 5 & 0 & 4 \\1 & - 4 & 6 \\7 & 0 & 9\end{array} \right|$$
-Third step

• A) \(\left| \begin{array} { c c c }
• 5 & 0 & 4 \\
• 1 & - 4 & 6 \\
• 7 & 0 & 9
• \end{array} \right| = ( 0 ) ( - 1 ) ^ { 2 + 1 } \left| \begin{array} { l l }
• 1 & 6 \\
• 7 & 9
• \end{array} \right| + ( - 4 ) ( - 1 ) ^ { 2 + 2 } \left| \begin{array} { l l }
• 5 & 4 \\
• 7 & 9
• \end{array} \right| + ( 0 ) ( - 1 ) ^ { 2 + 3 } \left| \begin{array} { l l }
• 5 & 4 \\
• 1 & 6
• \end{array} \right|\)
• B) \(\left| \begin{array} { c c c }
• 5 & 0 & 4 \\
• 1 & - 4 & 6 \\
• 7 & 0 & 9
• \end{array} \right| = ( 0 ) ( - 1 ) ( - 33 ) + ( - 4 ) ( 1 ) ( 17 ) + ( 0 ) ( - 1 ) ( 26 )\)
• C) \(\left| \begin{array} { c c c }
• 5 & 0 & 4 \\
• 1 & - 4 & 6 \\
• 7 & 0 & 9
• \end{array} \right| = 0 - 68 + 0 = - 68\)

Grasp the importance of primary and foreign keys in relational database design.

Learn to select appropriate data types for specific fields in database tables.

Comprehend the differences between various views (Layout, Report, Print Preview) and their applications in database management.

Understand the impact of data redundancy on database integrity and performance, and know the solutions to address it.

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