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:

Reproductive System

A biological system within an organism which works to facilitate reproduction, consisting of organs and structures that enable the production of offspring.

Gametes

Reproductive cells (sperm in males and eggs in females) that carry half the genetic information of an individual and can unite with another to form a new organism.

Uterine Tube

Also known as the fallopian tube, it is a part of the female reproductive system that transports the ova from the ovary to the uterus.

Fetal Development

The process of growth and development within the womb, from the formation of an embryo to the birth of a baby.