×
Log in to StudySoup
Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 4.2 - Problem 40e
Join StudySoup for FREE
Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 4.2 - Problem 40e

Already have an account? Login here
×
Reset your password

Then H and K are subspaces of . In fact, H and K are

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 40E Chapter 4.2

Linear Algebra and Its Applications | 5th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

4 5 1 388 Reviews
28
0
Problem 40E

Then H and K are subspaces of . In fact, H and K are planes in through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. [Hint: w can be written as To build w, solve the equation

Step-by-Step Solution:

Solution 40 EStep 1 of 4Consider the vectors Suppose that the subspaces and intersect in a line through 0.The objective is to find a nonzero vector w that generates the line.Since and intersect in a line, so w is in both H and K.Therefore, w can be expressed as a linear combination of and also as a linear combination of .Thus, write the vector w as .Therefore, the following equation is obtained:

Step 2 of 4

Chapter 4.2, Problem 40E is Solved
Step 3 of 4

Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Then H and K are subspaces of . In fact, H and K are