Show that the functions f(x) = x and g(x) = |x| are linearly independent when considered as
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
When x 0 we have fx gx 0 proving linear depen...View the full answer
Answered By
Shristi Singh
A freshman year metallurgy and material science student in India.
4.80+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Show that the functions f and g are identically equal. f(x) = sin x tan x g(x) = sec x - cos x
-
Show that the functions f and g are identically equal. f(x) = cos x cot x g(x) = csc x - sin x
-
Show that log n! is greater than (n log n)/4 for n > 4. Let f (x) and g(x) be functions from the set of real numbers to the set of real numbers. We say that the functions f and g are asymptotic and...
-
PROJECT SCENARIO You are recently appointed as the IT Consultant and Software Architect in BMS a Software Architect firm. As your first project, you are assigned by the Project Manager to propose and...
-
It can be said that complex IS projects commonly fail because organizations not only fail to learn, but also learn to fail. Explain how this happens. What should an organization do to avoid this...
-
What is the relationship between the number of photons and the intensity of light?
-
Let's check back in on Jordan. Recall, Jordan had just watched The Queen's Gambit and decided to hone their skills, practicing for 3 hours the first week, and increasing the time spent practicing by...
-
Error Corrections and Accounting Changes Penn Company is in the process of adjusting and correcting its books at the end of 2010. In reviewing its records, the following information is compiled. 1....
-
What is the expected return of the portfolio?. You decide to invest in a portfolio consisting of 30 percent Stock A, 30 percent Stock B, and the remainder in Stock C. Based on the following...
-
Kate Stephens, the COO of BioDerm, has asked her cost management team for a product-line profitability analysis for her company's two products, Xderm and Yderm. The two skin-care products require a...
-
Determine whether the given functions are linearly independent or linearly dependent: (a) 2 - x2, 3x, x2 + x - 2 (b) 3x - 1, a (2 a + 1), jc (a- - 1) (c) ex, ex+1 (d) sin x. sin(A + 1) (e)...
-
(a) Prove that the polynomials i = 1.........k, are linearly independent if and only if the k (n + 1) matrix A whose entries are their coefficients aij ,1 i k, 0 j n. has rank k. (b) Formulate a...
-
Why do you think Minkow was able to pull off the fraud at the church for so long and not be detected?
-
A particle has a uniform acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\). If the particle starts from rest at \(t=0\). (a) Determine the velocity of the particle at \(t=5 \mathrm{~s}\). (b)...
-
What are the basic tax consequences of a property distribution?
-
Write two constraints of AnyAccount stability pattern.
-
What is the historical origin of our spousal support laws?
-
An impulsive force of magnitude \(12,000 \mathrm{~N}\) is applied to a particle for \(0.03 \mathrm{~s}\). What is the total impulse imparted by this force?
-
Two events happen at the same point x' 0 in frame S' at times t' 1 and t' 2 . (a) Use Equations 1-19 to show that in frame S the time interval between the events is greater than t' 2 - t' 1 by a...
-
Suppose the S&P 500 futures price is 1000, = 30%, r = 5%, = 5%, T = 1, and n = 3. a. What are the prices of European calls and puts for K = $1000? Why do you find the prices to be equal? b. What...
-
Let U be an n n upper triangular matrix with nonzero diagonal entries. (a) Explain why U must be nonsingular. (b) Explain why U-1 must be upper triangular.
-
Find the inverse of each matrix in Exercise 1. For each elementary matrix, verify that its inverse is an elementary matrix of the same type. Exercise 1 (c) 0 1 01 (d) | () 5 0
-
Let A be a nonsingular n n matrix and let B be an n r matrix. Show that the reduced row echelon form of (A|B) is (I|C), where C = A-1B.
-
1. Under 100% sales assumption, using absorption coating, the COGS is calculated by adding Dorect Material (DM), Direct Labor (DL), and Fixed Overhead (FOH) a) True b) False 2. Under 100% sales...
-
. For the rest of questions , refer to the code on the following. Assume both classes are saved in appropriately named files, and are in the same folder. public class Room { int width; int len...
-
Planning quantities Sales $30Q Cost of goods sold $16Q Salaries expense $5,000 per month Utilities expense $250 + $1Q Rent expense $2,100 per month Misc expense $600 + $3Q Actual Results Actual Sales...
Study smarter with the SolutionInn App