Use the Appropriate Property of Determinants from This Section to Justify

question 148

Short Answer

Use the appropriate property of determinants from this section to justify the true statement. $$\left| \begin{array} { c c c } 7 & 9 & 15 \\8 & - 12 & 4 \\7 & 6 & - 1\end{array} \right| = - \left| \begin{array} { c c c } 7 & 15 & 9 \\8 & 4 & - 12 \\7 & - 1 & 6\end{array} \right|$$ Do not evaluate the determinants. Property number 1: If any row (or column) of a square matrix A contains only zeros, then | A | = 0. Property number 2: If square matrix B is obtained from square matrix A by interchanging two rows (or two columns), then | B | = $-$ | A |. Property number 3: If square matrix B is obtained from square matrix A by multiplying each element of any row (or column) of A by some real number k , then | B | = k | A |. Property number 4: If square matrix B is obtained from square matrix A by adding k times a row (or column) of A to another row (or column) of A , then | B | = | A |. Property number 5: If two rows (or columns) of a square matrix A are identical, then | A | = 0. Enter property number only.

Understand the impact of benefits and services on employee motivation and organizational effectiveness.

Grasp the ethical implications of benefit changes and how organizations can protect their employees' interests.

Recognize historical advancements in employee benefits and their motivations.

Identify the critical components and distinctions of public protection programs and retirement plans.

---

Definitions:

Work Less Hard

A reduction in the effort or intensity with which an individual or group engages in their tasks or duties.

Risky Decisions

Choices made under conditions of uncertainty, where outcomes can include significant losses or gains.

Destination Contract

A shipping agreement where the seller is obligated to deliver goods to a specific destination, with the seller bearing risk and cost until delivery.

Risk Of Loss

The potential for an asset to decrease in value or for an investment to lose money.