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:

DOL

Degree of Operating Leverage, a ratio that measures how a company's operating income changes with a change in sales, indicating the effects of fixed costs on profits.

Accounting Break-Even

The point at which total revenues equal total expenses, and the business does not make a profit or loss.

Depreciation

A financial approach that spreads the price of a tangible asset over the period it is expected to benefit the company.

Annual Fixed Costs

The total of all business expenses that are consistent and unchanged throughout the fiscal year, regardless of production levels or sales volume.