Use the Appropriate Property of Determinants from This Section to Justify

question 198

Multiple Choice

Use the appropriate property of determinants from this section to justify the true statement. $$\left| \begin{array} { c c c } 12 & 3 & 3 \\4 & - 1 & 9 \\20 & - 5 & 15\end{array} \right| = 12 \left| \begin{array} { c c c } 3 & 3 & 1 \\1 & - 1 & 3 \\5 & - 5 & 5\end{array} \right| = 60 \left| \begin{array} { c c c } 3 & 3 & 1 \\1 & - 1 & 3 \\1 & - 1 & 1\end{array} \right|$$ Do not evaluate the determinants.

• 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 |.
• B) Property number 2: If square matrix B is obtained from square matrix A by interchanging two rows (or two columns), then | B | = \(-\) | A |.
• C) 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 |.
• D) Property number 1: If any row (or column) of a square matrix A contains only zeros, then | A | = 0.
• E) Property number 5: If two rows (or columns) of a square matrix A are identical, then | A | = 0.

Recognize the factors contributing to the risk of HIV/AIDS among sex workers.

Analyze the impact of media and pornography on societal perceptions of sex work.

Differentiate between various forms of sexual materials and understand their legal implications.

Examine the characteristics and experiences of children involved in child pornography.

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Definitions:

Person-Situation Debate

A debate in psychology focusing on the relative contribution of personality traits and situational factors in predicting or explaining behavior.

Nature-Nurture Debate

The ongoing discussion concerning the relative importance of an individual's innate qualities versus personal experiences in determining or causing differences in physical and behavioral traits.

Personality Psychology

A branch of psychology focused on understanding individual differences in behavior, emotion, and thought.

Extraversion

A personality dimension involving energy directed outward, such as excitement seeking, socializing, and talkativeness.