Diagonalize the Matrix A, If Possible $$A = P D P^{ - 1}$$

question 17

Multiple Choice

Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that
$$A = P D P^{ - 1}$$
- $A=\left[\begin{array}{rrrr}9 & 0 & 0 & 0 \\0 & 9 & 0 & 0 \\-16 & 4 & 1 & 16 \\0 & 0 & 0 & 9\end{array}\right]$

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Definitions:

Peripheral Nervous System

The part of the nervous system that consists of the nerves and ganglia outside of the brain and spinal cord.

Somatic Nervous System

The part of the peripheral nervous system that handles voluntary control of body movements through control of skeletal muscles.

Endocrine System

A network of glands in the body that produce and release hormones directly into the bloodstream to regulate the body's growth, metabolism, and sexual development and function.

Peripheral Nervous System

The part of the nervous system that consists of the nerves and ganglia outside of the brain and spinal cord, responsible for connecting the central nervous system to limbs and organs.