Use Matrices to Solve

question 69

Essay

Use matrices to solve $\left\{ \begin{array} { l } 12 x ^ { 2 } - 2 y ^ { 2 } + 8 z ^ { 2 } = 3 \\4 x ^ { 2 } + 7 y ^ { 2 } + 2 z ^ { 2 } = \frac { 17 } { 2 } \\2 x ^ { 2 } + 7 y ^ { 2 } - 4 z ^ { 2 } = \frac { 13 } { 2 }\end{array} \right.$

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Definitions:

Profitability Index

A financial metric that measures the relative profitability of an investment by dividing the present value of future cash flows by the initial investment cost.

Required Return

The expected return that investors seek from an investment, considering its risk level and the opportunity cost of forgoing other investments.

Profitability Index

A calculation that determines the relative profitability of an investment, expressed as the ratio of the present value of future cash flows over the initial investment cost.

Internal Rate Of Return

In financial evaluation, it's a measure used to assess the profitability of forthcoming investments, identified by the yield rate that renders the net present value of the project's cash flows neutral.