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Find the Minor M13M _ { 13 } And Its Cofactor C13C _ { 13 }

Question 2

Multiple Choice

Find the minor M13M _ { 13 } and its cofactor C13C _ { 13 } 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)
M13=∣924318∣=90M _ { 13 } = \left| \begin{array} { l l } 9 & 24 \\ 3 & 18 \end{array} \right| = 90
C13=−90C _ { 13 } = - 90

B) M13=∣−6246−18∣=−36\quad M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36
C13=−36C _ { 13 } = - 36

C)
M13=∣−963−9∣=63C13=−63\begin{array}{l}M_{13}=\left|\begin{array}{cc}-9 & 6 \\3 & -9\end{array}\right|=63 \\C_{13}=-63\end{array}


D)
M13=∣−6246−18∣=−36M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36
C13=36C _ { 13 } = 36

E)
M13=∣−963−9∣=63M _ { 13 } = \left| \begin{array} { c c } - 9 & 6 \\ 3 & - 9 \end{array} \right| = 63
C13=63C _ { 13 } = 63

Correct Answer:

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