Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 1 & 0 & 8 \\1 & 2 & 3 \\2 & 5 & 3\end{array} \right]$$

question 124

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 1 & 0 & 8 \\1 & 2 & 3 \\2 & 5 & 3\end{array} \right]$$

• A)
• \[\left[ \begin{array} { l l l }
• 1 & 1 & 2 \\
• 0 & 2 & 5 \\
• 8 & 3 & 3
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r }
• - 1 & 0 & - 8 \\
• - 1 & - 2 & - 3 \\
• - 2 & - 5 & - 3
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r }
• 9 & - 40 & 16 \\
• - 3 & 13 & - 5 \\
• - 1 & 5 & - 2
• \end{array} \right]\]
• D) The inverse does not exist.

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Definitions:

Progressive Tax

A tax system where the tax rate increases as the taxable amount increases, often aimed at reducing income inequality.

Tax Base

The tax base is the total amount of assets or revenue that a government can tax, including income, property, sales, and other valuables.

Marginal Tax Rate

The rate at which the next dollar of taxable income is taxed.

Proportional Tax

A tax system where the rate of taxation is fixed, meaning the tax rate stays the same regardless of the taxable amount or income.