Find the Matrix Product, If Possible $\left[\begin{array}{rrr}1 & 3 & -1 \\3 & 0 & 5\end{array}\right]\left[\begin{array}{rr}3 & 0 \\-1 & 1 \\0 & 5\end{array}\right]$

question 30

Multiple Choice

Find the matrix product, if possible.
- $\left[\begin{array}{rrr}1 & 3 & -1 \\3 & 0 & 5\end{array}\right]\left[\begin{array}{rr}3 & 0 \\-1 & 1 \\0 & 5\end{array}\right]$

• A) \( \left[\begin{array}{cc}-2 & 0 \\ 25 & 9\end{array}\right] \)
• B) \( \left[\begin{array}{rrr}3 & -3 & 0 \\ 0 & 0 & 25\end{array}\right] \)
• C) \( \left[\begin{array}{ll}0 & -2 \\ 9 & 25\end{array}\right] \)
• D) Does not exist

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Definitions:

Expiratory Reserve

The volume of air that can be forcefully exhaled after the completion of a normal, quiet expiration.

Pulmonary Fibrosis

A lung disease that occurs when lung tissue becomes damaged and scarred, making it difficult for lungs to work efficiently.

Fibrous Connective Tissue

A type of connective tissue characterized by a high density of collagen fibers, providing strength and flexibility to structures such as tendons and ligaments.

Alveolar Walls

The thin barriers in the lungs that separate the air in the alveoli from the blood in surrounding capillaries, facilitating gas exchange.