Find All Minors of the Matrix $\left[ \begin{array} { c c c } 9 & - 6 & 24 \\- 9 & 6 & - 18 \\3 & - 9 & 18\end{array} \right]$

question 280

Multiple Choice

Find all minors of the matrix $\left[ \begin{array} { c c c } 9 & - 6 & 24 \\- 9 & 6 & - 18 \\3 & - 9 & 18\end{array} \right]$ .

• A) \(\begin{array} { l l l }
• M _ { 11 } = 108 & M _ { 12 } = 90 & M _ { 13 } = - 63 \\
• M _ { 21 } = - 54 & M _ { 22 } = - 108 & M _ { 23 } = 63 \\
• M _ { 31 } = - 36 & M _ { 32 } = 54 & M _ { 33 } = 0
• \end{array}\)
• B) \(\begin{array} { l l l l }
• M _ { 11 } & = 63 & M _ { 12 } = - 108 & M _ { 13 } = - 54 \\
• M _ { 21 } & = - 63 & M _ { 22 } = 90 & M _ { 23 } = 108 \\
• M _ { 31 } & = 0 & M _ { 32 } = 54 & M _ { 33 } = - 36
• \end{array}\)
• C) \(\begin{array} { l l l }
• M _ { 11 } = - 54 & M _ { 12 } = - 108 & M _ { 13 } = 63 \\
• M _ { 21 } = 108 & M _ { 22 } = 90 & M _ { 23 } = - 63 \\
• M _ { 31 } = - 36 & M _ { 32 } = 54 & M _ { 33 } = 0
• \end{array}\)
• D) \(\begin{array} { l l l l }
• M _ { 11 } = - 108 & M _ { 12 } = - 54 & M _ { 13 } = 63 \\
• M _ { 21 } = 90 & M _ { 22 } = 108 & M _ { 23 } = - 63 \\
• M _ { 31 } = 54 & M _ { 32 } = - 36 & M _ { 33 } = 0
• \end{array}\)
• E) \(\begin{array} { l l l }
• M _ { 11 } = - 36 & M _ { 12 } = 54 & M _ { 13 } = 0 \\
• M _ { 21 } = 108 & M _ { 22 } = 90 & M _ { 23 } = - 63 \\
• M _ { 31 } = - 54 & M _ { 32 } = - 108 & M _ { 33 } = 63
• \end{array}\)

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