Show That the Given Matrix Is Positive Definite, and Then

question 56

Essay

Show that the given matrix is positive definite, and then find the LDU-factorization of the matrix.

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Definitions:

Self-Categorisation

The process by which individuals classify themselves into groups in various contexts, influencing their beliefs and behaviors.

Group Identification

The process where individuals align themselves with specific groups based on shared characteristics or interests.

German Accent

A distinctive manner of pronunciation characterized by features unique to speakers of German when speaking another language.

Social Change Belief System

Belief that intergroup boundaries are impermeable. Therefore, a lower-status individual can improve social identity only by challenging the legitimacy of the higher-status group’s position.