Use a Graphing Utility to Find the Inverse of the Matrix

question 116

Multiple Choice

Use a graphing utility to find the inverse of the matrix, if it exists. Round answers to two decimal places, if necessary.
- $$\left[ \begin{array} { r r r } - 16 & 3 & 28 \\5 & - 14 & 15 \\34 & 25 & 2\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r } - 0.01 & 0.02 & 0.01 \\ 0.02 & - 0.03 & 0.01 \\ 0.02 & 0.02 & 0 . \end{array} \right.\)
• B) \(\left[ \begin{array} { r r r } - 0.02 & 0.03 & 0.02 \\ 0.02 & - 0.04 & 0.01 \\ 0.02 & 0.02 & 0.00 \end{array} \right]\)
• C)
• \( \left[\begin{array}{rrr}-0.01 & 0.03 & 0.02 \\ 0.02 & -0.03 & 0.01 \\ 0.02 & 0.02 & 0.01\end{array}\right] \)
• D)
• \( \left[\begin{array}{rrr}-0.02 & 0.03 & 0.02 \\ 0.02 & -0.04 & 0.02 \\ 0.02 & 0.02 & 0.01\end{array}\right] \)

---

Definitions:

Albumin

A type of protein in the blood plasma responsible for maintaining osmotic pressure in the blood vessels and transporting substances.

Plasma Protein

Proteins found in blood plasma that perform many roles, including clotting, defense against disease, and transport of substances.

Osmosis

The spontaneous movement of solvent molecules through a semi-permeable membrane from a region of low solute concentration to a region of high solute concentration to equalize the concentrations on both sides of the membrane.

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance that is the main constituent of Earth's hydrosphere and the fluids of all known living organisms.