1. Explain why the following form linearly dependent sets of vec- tors. (Solve this problem by inspection.) (a) u = (-1, 2, 4) and uz = (5, – 10, -20) in R %3D 6. (b) u, = (3,-1), u2 = (4, 5), u3 = (-4, 7) in R² %3D %3D (c) P, = 3-2x + x² and p, = 6 – 4x + 2x² in P2 -3 4 3 (d) A = 2 in M22 and B = -2
1. Explain why the following form linearly dependent sets of vec- tors. (Solve this problem by inspection.) (a) u = (-1, 2, 4) and uz = (5, – 10, -20) in R %3D 6. (b) u, = (3,-1), u2 = (4, 5), u3 = (-4, 7) in R² %3D %3D (c) P, = 3-2x + x² and p, = 6 – 4x + 2x² in P2 -3 4 3 (d) A = 2 in M22 and B = -2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Can you please help me with these three questions (1,2,3) please? It's about Linear Independence.

Transcribed Image Text:Explain why the following form linearly dependent sets of vec-
米1
tors. (Solve this problem by inspection.)
(a) u = (-1, 2, 4) and u2 = (5, -10, -20) in R
%3D
%3D
(b) u, = (3,-1), u2 = (4, 5), u3 = (-4, 7) in R?
%3D
%3D
%3D
(c) P, = 3-2x+x² and p, = 6 – 4x + 2x² in P2
3 4
3 -
(d) A =
and B =
-2
in M22
2 0

Transcribed Image Text:2. In each part, determine whether the vectors are linearly inde-
pendent or are linearly dependent in R.
(a) (-3, 0, 4), (5, –1, 2), (1, 1, 3)
(b) (-2, 0, 1), (3, 2, 5), (6, –1, 1), (7,0, –2)
3. In each part, determine whether the vectors are linearly inde-
pendent or are linearly dependent in R4.
(a) (3, 8, 7, –3), (1, 5, 3, –1), (2, -1, 2, 6), (4, 2, 6, 4)
(b) (3, 0, –3, 6), (0, 2, 3, 1), (0, -2, -2, 0), (-2, 1, 2, 1)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

