Find All the Cofactors of the Matrix $$\left[ \begin{array} { c c c } - 5 & 0 & 3 \\4 & 3 & 6 \\6 & - 6 & 6\end{array} \right]$$

question 28

Multiple Choice

Find all the cofactors of the matrix.​ $$\left[ \begin{array} { c c c } - 5 & 0 & 3 \\4 & 3 & 6 \\6 & - 6 & 6\end{array} \right]$$ ​

• A) \[C _ { 11 } = 12 , C _ { 12 } = - 42 , C _ { 13 } = - 18 , C _ { 21 } = - 48 , C _ { 22 } = - 30 , C _ { 23 } = - 9 , C _ { 31 } = 42 , C _ { 32 } = - 15 , C _ { 33 } = 54\]
• B) \(C _ { 11 } = - 18 , C _ { 12 } = - 48 , C _ { 13 } = - 30 , C _ { 21 } = - 9 , C _ { 22 } = 42 , C _ { 23 } = - 15 , C _ { 31 } = 54 , C _ { 32 } = 12 , C _ { 33 } = - 42\)
• C) \(C _ { 11 } = - 9 , C _ { 12 } = 42 , C _ { 13 } = - 15 , C _ { 21 } = 54 , C _ { 22 } = 12 , C _ { 23 } = - 42 , C _ { 31 } = - 18 , C _ { 32 } = - 48 , C _ { 33 } = - 30\)
• D) \(C _ { 11 } = - 42 , C _ { 12 } = - 18 , C _ { 13 } = - 48 , C _ { 21 } = - 30 , C _ { 22 } = - 9 , C _ { 23 } = 42 , C _ { 31 } = - 15 , C _ { 32 } = 54 , C _ { 33 } = 12\)
• E) \(C _ { 11 } = 54 , C _ { 12 } = 12 , C _ { 13 } = - 42 , C _ { 21 } = - 18 , C _ { 22 } = - 48 , C _ { 23 } = - 30 , C _ { 31 } = - 9 , C _ { 32 } = 42 , C _ { 33 } = - 15\)

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Definitions:

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