Use an Inverse Matrix to Find the Solution to the System

question 137

Multiple Choice

Use an inverse matrix to find the solution to the system.
- $$\left\{ \begin{aligned}x _ { 1 } + x _ { 3 } + x _ { 4 } & = 4 \\x _ { 2 } + x _ { 3 } - x _ { 4 } & = 12 \\2 x _ { 1 } + 2 x _ { 2 } + x _ { 3 } - 3 x _ { 4 } & = 23 \\4 x _ { 2 } + 2 x _ { 4 } & = 6\end{aligned} \right.$$

• A) \(x _ { 1 } = 1 , x _ { 2 } = 4 , x _ { 3 } = 0 , x _ { 4 } = 1\)
• B) no solution
• C) \(x _ { 1 } = 2 , x _ { 2 } = 2 , x _ { 3 } = - 5 , x _ { 4 } = - 6\)
• D) \(x _ { 1 } = 1 , x _ { 2 } = 3 , x _ { 3 } = 6 , x _ { 4 } = - 3\)

Differentiate between various financial products such as options, warrants, and convertible bonds.

Understand the concept of expiration date and exercise timing for options and how these impact financial decisions.

Grasp the conditions under which different options are in the money, at the money, or out of the money.

Comprehend the pricing models for options, including factors influencing option pricing.

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Definitions:

Yield to Maturity

The total return anticipated on a bond if it is held until the date it matures.

Premium

An amount paid that is above the standard or nominal cost, often for insurance, superior goods, or to designate a higher level of service or coverage.

Coupon Rate

The interest rate stated on a bond when issued, which represents the amount of interest paid to bondholders annually.

Interest Rates

The percentage of a sum of money charged for its use, determining the cost of borrowing or the return on savings.