Find All Minors of the Matrix $\left[ \begin{array} { c c c } - 7 & 0 & 4 \\2 & 4 & 3 \\3 & - 3 & 5\end{array} \right]$

question 10

Multiple Choice

Find all minors of the matrix. $\left[ \begin{array} { c c c } - 7 & 0 & 4 \\2 & 4 & 3 \\3 & - 3 & 5\end{array} \right]$

• A) \(M _ { 11 } = 1 , M _ { 12 } = - 18 , M _ { 13 } = 12 , M _ { 21 } = - 47 , M _ { 22 } = 21 , M _ { 23 } = - 16 , M _ { 31 } = - 29 , M _ { 32 } = - 28 , M _ { 33 } = 29\)
• B) \(M _ { 11 } = 12 , M _ { 12 } = - 47 , M _ { 13 } = 21 , M _ { 21 } = - 16 , M _ { 22 } = - 29 , M _ { 23 } = - 28 , M _ { 31 } = 29 , M _ { 32 } = 1 , M _ { 33 } = - 18\)
• C) \(M _ { 11 } = 29 , M _ { 12 } = 1 , M _ { 13 } = - 18 , M _ { 21 } = 12 , M _ { 22 } = - 47 , M _ { 23 } = 21 , M _ { 31 } = - 16 , M _ { 32 } = - 29 , M _ { 33 } = - 28\)
• D) \(M _ { 11 } = - 18 , M _ { 12 } = 12 , M _ { 13 } = - 47 , M _ { 21 } = 21 , M _ { 22 } = - 16 , M _ { 23 } = - 29 , M _ { 31 } = - 28 , M _ { 32 } = 29 , M _ { 33 } = 1\)
• E) \(M _ { 11 } = - 16 , M _ { 12 } = - 29 , M _ { 13 } = - 28 , M _ { 21 } = 29 , M _ { 22 } = 1 , M _ { 23 } = - 18 , M _ { 31 } = 12 , M _ { 32 } = - 47 , M _ { 33 } = 21\)

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Definitions:

Motor Cortex

An area of the brain's frontal lobe involved in planning, controlling, and executing voluntary movements.

Frontal Lobes

The regions of the brain located behind the forehead that are responsible for voluntary movement, language, planning, and problem-solving.

Cerebral Cortex

The outer layer of the cerebrum in the brain, involved in high-level functions such as sensory perception, cognition, and generating motor commands.

Frontal Lobes

Sections of the brain located at the front of each cerebral hemisphere, responsible for decision making, problem solving, control of purposeful behaviors, consciousness, and emotions.