Determine Whether Matrix B Is the Inverse of Matrix a by Finding

question 42

Multiple Choice

Determine whether matrix B is the inverse of matrix A by finding the product AB.
- $A = \left[ \begin{array} { r r } - 2 & 4 \\ 4 & - 4 \end{array} \right] , B = \left[ \begin{array} { l l } \frac { 1 } { 2 } & \frac { 1 } { 4 } \\ \frac { 1 } { 2 } & \frac { 1 } { 4 } \end{array} \right]$

• A) \(B \neq A ^ { - 1 }\)
• B) \(\mathrm { B } = \mathrm { A } ^ { - 1 }\)

---

Definitions:

Methicillin-Resistant Staphylococcus Aureus

A type of bacteria that is resistant to several antibiotics, including methicillin, making infections difficult to treat.

Contact Precautions

Infection control measures used in healthcare settings to prevent the spread of diseases through direct or indirect contact.

Airborne Precautions

Infection control measures taken to prevent the spread of diseases transmitted by airborne particles, requiring specialized equipment like N95 respirators.

Standard Precautions

Basic infection control practices used to prevent transmission of diseases that can be acquired by contact with blood, body fluids, non-intact skin, and mucous membranes.