<p>A) &#160;Determine if the set of vectors of the form&#160;<img src=\"https://

Question

<p>A) &#160;Determine if the set of vectors of the form&#160;<img src="https://s3.amazonaws.com/answer-board-image/cramster-equation-201136211856634350431362401223959.gif" alt="" align="absmiddle" />, where&#160;<img src="https://s3.amazonaws.com/answer-board-image/235153cf-32d0-44d3-a5a0-99c3bd28dd61.jpg" alt="image from custom entry tool" />&#160;&#160; form a vector space. &#160;</p>
<p>B) Determine if the set of all vectors of the form&#160;<img src="https://s3.amazonaws.com/answer-board-image/cramster-equation-2011362119146343504315408736075232.gif" alt="" align="absmiddle" />, such that z=xy form a subspace of R^3.</p>
<p>&#160;</p>
<p>C) Determine if the set of all vectors of the form&#160;<img src="https://s3.amazonaws.com/answer-board-image/cramster-equation-201136212142634350433024121851638.gif" alt="" align="absmiddle" />&#160;form a subspace of R^3.</p>

Explanation / Answer

A is a vector space because it satisfies all axioms of vector space.

B is a subspace because it satisfies all axioms of subspace.

C is not a subspace because it does not contain zero vector.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.