Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { r r r } 1 & 0 & 0 \\- 1 & 1 & 0 \\0 & - 6 & 1\end{array} \right]$$

question 13

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { r r r } 1 & 0 & 0 \\- 1 & 1 & 0 \\0 & - 6 & 1\end{array} \right]$$

• A)
• \(\left[ \begin{array} { l l l } 1 & 0 & 0 \\ 1 & 1 & 0 \\ 6 & 6 & 1 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ - 1 & 1 & 0 \\ 0 & 0 & - 6 \end{array} \right]\)
• C)
• \(\left[\begin{array}{rrr}
• 1 & -6 & -6 \\
• 0 & 1 & 1 \\
• 0 & 0 & 1
• \end{array}\right]\)
• D)
• \(\left[\begin{array}{rrr}
• 1 & 0 & 0 \\
• -6 & -1 & 0 \\
• -6 & -1 & 1
• \end{array}\right]\)

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Definitions:

Rousseau

Jean-Jacques Rousseau, a Genevan philosopher, writer, and composer of the 18th century, known for his influential thoughts on education and social contract theory.

Hobbes

An English philosopher, best known for his political philosophy that includes the social contract theory found in his work "Leviathan."

Pristine State

Refers to the original, unaltered condition of something, often implying purity or untouched quality.

Ultimate Attribution Error

A cognitive bias where people attribute the positive behaviors of their in-group to stable, internal characteristics and negative behaviors of out-groups to their inherent qualities.