Find the Characteristic Equation of the Given Matrix $$A = \left[ \begin{array} { r r r r } 9 & 6 & 4 & 3 \\0 & 7 & - 6 & 8 \\0 & 0 & 5 & 9 \\0 & 0 & 0 & 9\end{array} \right]$$

question 15

Multiple Choice

Find the characteristic equation of the given matrix.
- $$A = \left[ \begin{array} { r r r r } 9 & 6 & 4 & 3 \\0 & 7 & - 6 & 8 \\0 & 0 & 5 & 9 \\0 & 0 & 0 & 9\end{array} \right]$$

• A) \(( 9 - \lambda ) ^ { 2 } ( 7 - \lambda ) ( 5 - \lambda ) = 0\)
• B) \(( 9 - \lambda ) ( 6 - \lambda ) ( 4 - \lambda ) ( 3 - \lambda ) = 0\)
• C) \(( 9 - \lambda ) ( 7 - \lambda ) ( 5 - \lambda ) = 0\)
• D) \(( 9 - \lambda ) ( 9 - \lambda ) ( 8 - \lambda ) ( 3 - \lambda ) = 0\)

---

Definitions:

Abuse

The improper usage or treatment of an entity, often to unfairly or improperly gain benefit.

Personal Domain

Refers to the range or scope of personal interests, activities, and responsibilities where an individual has autonomy and control.

Work Engagement

The degree of enthusiasm and dedication an individual exhibits towards their job.

Vigour

The physical strength, energy, and good health needed for sustained physical or mental activity.