Find the Minor $M _ { 13 }$ And Its Cofactor $C _ { 13 }$

question 77

Multiple Choice

Find the minor $M _ { 13 }$ and its cofactor $C _ { 13 }$ of the matrix $\left[ \begin{array} { c c c } 9 & - 6 & 24 \\ - 9 & 6 & - 18 \\ 3 & - 9 & 18 \end{array} \right]$ .

• A) \(M _ { 13 } = \left| \begin{array} { l l } 9 & 24 \\ 3 & 18 \end{array} \right| = 90\)
• \(C _ { 13 } = - 90\)
• B)
• \(M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36\)
• \(C _ { 13 } = - 36\)
• C)
• \(M _ { 13 } = \left| \begin{array} { c c } - 9 & 6 \\ 3 & - 9 \end{array} \right| = 63\)
• \(C _ { 13 } = - 63\)
• D)
• \(M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36\)
• \(C _ { 13 } = 36\)
• E)
• \[\begin{array} { l }
• M _ { 13 } = \left| \begin{array} { c c }
• - 9 & 6 \\
• 3 & - 9
• \end{array} \right| = 63 \\
• C _ { 13 } = 63
• \end{array}\]