The set S={(0, 1, 2) , (2, 4, 6), (2, 0, -1)} is: Select one: O a. A spanning set for R3. O b. Neither a spanning nor a basis set for R3. O c. A basis set for R3. O d. A spanning set and also a basis set for R3.

The set S={(0, 1, 2) , (2, 4, 6), (2, 0, -1)} is: Select one: O a. A spanning set for R3. O b. Neither a spanning nor a basis set for R3. O c. A basis set for R3. O d. A spanning set and also a basis set for R3.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

The set S={(0, 1, 2) , (2, 4, 6), (2, 0, -1)} is:
Select one:
O a. A spanning set for R3.
O b. Neither a spanning nor a basis set for R3.
O c. A basis set for R3.
O d. A spanning set and also a basis set for R3.

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