Consider the line L spanned by {(1, 2, 3)}in R. Find a basis of L-. a) {(0, –3, –2)} b) {(1,0,0), (0, 1,0), (0, 0, 1)} c) {(-2, 1,0)(-3, 0, 1)} d) {(0, –2, 0), (0, 0, –3)} e) {(0, –3,0), (0, 0, -2)} O a b.

Consider the line L spanned by {(1, 2, 3)}in R. Find a basis of L-. a) {(0, –3, –2)} b) {(1,0,0), (0, 1,0), (0, 0, 1)} c) {(-2, 1,0)(-3, 0, 1)} d) {(0, –2, 0), (0, 0, –3)} e) {(0, –3,0), (0, 0, -2)} O a b.

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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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

Consider the line L spanned by {(1, 2, 3)}in R. Find a basis of L-.
a) {(0, –3, –2)}
b) {(1,0,0), (0, 1,0), (0, 0, 1)}
c) {(-2, 1,0)(-3,0, 1)}
d) {(0, -2, 0), (0, 0, -3)}
e) {(0, –3,0), (0, 0, –2)}
O a
Oc
O d
O e

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