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:

Composition

In mathematics, the act of applying one function to the result of another to produce a third function; it's the combining of two functions where the output of one becomes the input of the other.

Composition

The operation of applying one function to the result of another to produce a third function.

Function

An arrangement between inputs and a cadre of sanctioned outputs, in which every input is designated a specific output.

Inverse Function

An inverse function reverses the operation of the original function, mapping the output back to its input.