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Find All Minors of the Matrix [9−624−96−183−918]\left[ \begin{array} { c c c } 9 & - 6 & 24 \\- 9 & 6 & - 18 \\3 & - 9 & 18\end{array} \right]

Question 23

Multiple Choice

Find all minors of the matrix [9−624−96−183−918]\left[ \begin{array} { c c c } 9 & - 6 & 24 \\- 9 & 6 & - 18 \\3 & - 9 & 18\end{array} \right] . ​


A) M11=108M12=90M13=−63M21=−54M22=−108M23=63M31=−36M32=54M33=0\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) M11=63M12=−108M13=−54M21=−63M22=90M23=108M31=0M32=54M33=−36\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) M11=−54M12=−108M13=63M21=108M22=90M23=−63M31=−36M32=54M33=0\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) M11=−108M12=−54M13=63M21=90M22=108M23=−63M31=54M32=−36M33=0\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) M11=−36M12=54M13=0M21=108M22=90M23=−63M31=−54M32=−108M33=63\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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