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

question 20

Multiple Choice

Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that
$$A = P D P^{ - 1}$$
- $$A = \left[ \begin{array} { r r r } - 11 & 3 & - 9 \\0 & - 5 & 0 \\6 & - 3 & 4\end{array} \right]$$

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Definitions:

Direct Trade

A commercial model that aims to reduce the number of intermediaries in the supply chain, often in an effort to ensure fairer prices for producers and closer relations between consumers and producers.

West Africa

A region in the western part of the African continent, consisting of many countries, notable for its diverse cultures, languages, and histories.

Portuguese Merchants

Refers to traders from Portugal who were particularly active during the Age of Discovery, engaging in commerce around the world, especially in spices, gold, and slaves.

Mediterranean Atlantic

Referring to the area or regions bordering or near the Mediterranean Sea and the Atlantic Ocean, particularly influencing climate and trade.