Solve the System by Triangularizing the Augmented Matrix and Using

question 6

Multiple Choice

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

• A) (2, 1, 3)
• B) (2, 1, 2)
• C) coincident dependence; {(x, y, z) | x + y - 3z = -6}
• D) no solution, inconsistent

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Definitions:

Gross Profit Margin

A financial metric indicating the percentage of revenue that exceeds the cost of goods sold; it measures how efficiently a company uses its labor and supplies in production.

Cost of Goods Sold

Refers to the immediate expenses related to manufacturing products that a business sells.

General and Administrative Costs

Expenses related to the overall administration and management of a business, excluding production and sales costs.

Total Debt Ratio

A financial metric that compares a company's total liabilities to its total assets, indicating what proportion of a company's assets is financed by debt.