For what value or values of k the vectors V1 =(1,0, –2,0), v2 = (-1,k, –2,0), V3 = (1,1,1, 2)are V4 = (k, 1, 1, 2) e Rª linearly dependent?(a) k = 2 and k -1(b) k = -2 or k = 1(c) k = -2 or k = 2(d) k = 0 or k = 1(e) k +0 and k#1

A set of vectors are linearly dependent if there exist scalars not all zero such that . A system…

For what value or values of k the vectors V1 = (1,0, –2,0), V2 = (-1,k,–2,0), V3 = (1,1,1,2) are ▼4 = (k, 1, 1,2) E Rª linearly dependent? (a) k = 2 and k # –1 (b) k = -2 or k = 1 (c) k = -2 or k = 2 (d) k = 0 or k = 1 (e) k #0 and k #1

For what value or values of k the vectors V1 = (1,0, –2,0), V2 = (-1,k,–2,0), V3 = (1,1,1,2) are ▼4 = (k, 1, 1,2) E Rª linearly dependent? (a) k = 2 and k # –1 (b) k = -2 or k = 1 (c) k = -2 or k = 2 (d) k = 0 or k = 1 (e) k #0 and k #1

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

For what value or values of k the vectors V1 =
(1,0, –2,0), v2 = (-1,k, –2,0), V3 = (1,1,1, 2)
are V4 = (k, 1, 1, 2) e Rª linearly dependent?
(a) k = 2 and k -1
(b) k = -2 or k = 1
(c) k = -2 or k = 2
(d) k = 0 or k = 1
(e) k +0 and k#1

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