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

question 14

Multiple Choice

Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that
$$A = P D P^{ - 1}$$
- $$A = \left[ \begin{array} { l l l } 2 & 0 & 0 \\1 & 2 & 0 \\0 & 0 & 2\end{array} \right]$$

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Definitions:

Future Price

The anticipated cost or value of a good, security, or commodity at a specified future date, often used in the context of futures trading.

Downsloping Demand

This term illustrates a standard economic theory where the demand curve slopes downward, indicating that as the price decreases, the quantity demanded increases.

Upsloping Supply

Refers to a supply curve that slopes upwards, indicating that higher prices lead to a higher quantity supplied.

Excise Tax

A tax levied on specific goods or services, such as alcohol or gasoline, usually to discourage their consumption or to raise revenue for public purposes.