Determine Whether the Vector U Belongs to the Null Space

question 29

Multiple Choice

Determine whether the vector u belongs to the null space of the matrix A.
- $$\mathbf { u } = \left[ \begin{array} { l } 2 \\3 \\1\end{array} \right] , A = \left[ \begin{array} { r r r } - 2 & 3 & - 5 \\- 3 & - 1 & 9\end{array} \right]$$

• A) Yes
• B) No

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Definitions:

John D. Rockefeller

An American industrialist and philanthropist who was a co-founder of the Standard Oil Company, which dominated the oil industry and was the first great U.S. business trust.

Commercialization

The process of bringing new products or services to the market, encompassing production, distribution, marketing, sales, customer support, and other key activities.

Nonprofit Sector

The segment of society that comprises organizations primarily focused on philanthropic goals, community service, or providing noncommercial services.

Profit

The financial gain obtained when the amount earned from a business activity exceeds the expenses, costs, and taxes.