Given And $d = - 3$ Determine $c A + d B$

question 9

Multiple Choice

Given:
$A = \left[ \begin{array} { r r r } 8 & - 7 & 0 \\ - 5 & - 2 & 3 \end{array} \right] , B = \left[ \begin{array} { r r r } 3 & 0 & 7 \\ 4 & 9 & - 2 \end{array} \right] , c = 8$ and $d = - 3$ determine $c A + d B$ .

• A) \(\left[ \begin{array} { r r r } 55 & - 7 & 7 \\ - 52 & 7 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } 73 & - 56 & 21 \\ - 28 & 11 & 18 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r } 55 & - 56 & - 21 \\ - 52 & - 43 & 30 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } 55 & - 56 & - 21 \\ - 1 & 7 & 1 \end{array} \right]\)
• E) not possible

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Definitions:

Spiral Organ

A sensory structure within the cochlea of the inner ear responsible for converting sound vibrations into neural signals.

Oval Window

A membrane-covered opening that leads from the middle ear to the vestibule of the inner ear and transmits sound vibrations.

Vestibule

An entryway or antechamber leading to the main part of a building, or the central cavity of the labyrinth of the inner ear.

Auditory Ossicles

The three small bones in the middle ear that transmit sound vibrations from the eardrum to the inner ear.