Find the Inverse of the Matrix $$\left[ \begin{array} { l l l } 1 & 0 & 0 \\5 & 1 & 0 \\0 & 7 & 1\end{array} \right]$$

question 150

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { l l l } 1 & 0 & 0 \\5 & 1 & 0 \\0 & 7 & 1\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ - 5 & 1 & 0 \\ 35 & - 7 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } 1 & 7 & - 35 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { l l l } 1 & 0 & 0 \\ 5 & 1 & 0 \\ 0 & 0 & 7 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ 7 & - 1 & 0 \\ - 35 & 5 & 1 \end{array} \right]\)

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Definitions:

African Slaves

Individuals from Africa who were forcibly brought to and held in bondage in various parts of the world, particularly in the Americas, from the 16th to the 19th century.

Americas

A geographical designation referring to the entirety of the continents of North and South America and their associated islands.

Mulattoes

A term historically used to describe individuals of mixed African and European ancestry.

Blacks

A racial or ethnic group referring to people having origins in any of the black racial groups of Africa.