Find All the Cofactors of the Matrix $$\left[ \begin{array} { c c c } - 4 & 0 & 2 \\4 & 4 & 3 \\3 & - 3 & 3\end{array} \right]$$

question 3

Multiple Choice

Find all the cofactors of the matrix.​ $$\left[ \begin{array} { c c c } - 4 & 0 & 2 \\4 & 4 & 3 \\3 & - 3 & 3\end{array} \right]$$ ​

• A) \(C _ { 11 } = - 24 , C _ { 12 } = 6 , C _ { 13 } = - 18 , C _ { 21 } = - 12 , C _ { 22 } = - 8 , C _ { 23 } = 20 , C _ { 31 } = - 16 , C _ { 32 } = 21 , C _ { 33 } = - 3\)
• B) \(C _ { 11 } = - 8 , C _ { 12 } = 20 , C _ { 13 } = - 16 , C _ { 21 } = 21 , C _ { 22 } = - 3 , C _ { 23 } = - 24 , C _ { 31 } = 6 , C _ { 32 } = - 18 , C _ { 33 } = - 12\)
• C) \(C _ { 11 } = - 3 , C _ { 12 } = - 24 , C _ { 13 } = 6 , C _ { 21 } = - 18 , C _ { 22 } = - 12 , C _ { 23 } = - 8 , C _ { 31 } = 20 , C _ { 32 } = - 16 , C _ { 33 } = 21\)
• D) \(C _ { 11 } = 21 , C _ { 12 } = - 3 , C _ { 13 } = - 24 , C _ { 21 } = - 6 , C _ { 22 } = - 18 , C _ { 23 } = - 12 , C _ { 31 } = - 8 , C _ { 32 } = 20 , C _ { 33 } = - 16\)
• E) \(C _ { 11 } = 6 , C _ { 12 } = - 18 , C _ { 13 } = - 12 , C _ { 21 } = - 8 , C _ { 22 } = 20 , C _ { 23 } = - 16 , C _ { 31 } = 21 , C _ { 32 } = - 3 , C _ { 33 } = - 24\)

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Definitions:

McCrae and Costa

McCrae and Costa are best known for their development of the Five Factor Model of personality, which outlines five broad dimensions of personality traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Sociability

The tendency to seek and enjoy the company of others; being friendly and social.

Emotionality

The observable behavioral and physiological component of emotion; refers to a person's intensity and frequency of emotional expressions.

McCrae and Costa

Researchers known for the Five Factor Model of personality, which identifies five broad dimensions of personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.