Suppose u1, ....., up and v1,....., vq are vectors in a vector space V, and let H
Question:
H = Span {u1,.....,up} and K = Span {v1, ....... , vq}
Show that H + K = Span {u1,......,up, v1,......., vq}?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
A proof that H K Span u 1 upv 1 v q has two parts First one must show ...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Let v1, v2,...,vn be linearly independent vectors in a vector space V. Show that v2...., vn cannot span V.
-
If x1, x2,...., xk are vectors in a vector space V and Span(x1, x2,...., xk) = Span(x1, x2,...., xk-1) then x1, x2,...., xk are linearly dependent.
-
Let v1, v2 be two vectors in a vector space V. Show that v1 and v2 are linearly dependent if and only if one of the vectors is a scalar multiple of the other.
-
A rectangular plate lying on the xy plane has sides 2 in the x direction and in the y direction, thickness h in direction z, and is made of a material with Young's modulus E, Poisson's ratio v, and...
-
A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have...
-
The following information relates to two employees for the week ending 8 August 20-9; LO2 Name Number of items produced G Forbes 4,800 B Carr 5,200 The firm operates a piece work system at a rate of...
-
(p. 547). Recall that the patients diagnosed with colorectal cancer were randomly assigned to receive ordinary treatment or routine care or to follow an exercise program. Consequently, a 3 * 2...
-
Natalie has prepared the balance sheet and income statement of Cookie & Coffee Creations Inc. and would like you to prepare the statement of cash flows. Go to the books companion website,...
-
1. You are to create schedules (tables) for the EUAC after tax cash flow for a Front End Loader and a Conveyor, using a 15 year project life 2. You will ONLY do straight line and MACRS depreciation...
-
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. 240 lb 20 in 16 in -15 in.-
-
Given subspaces H and K of a vector space V, the sum of H and K, written as H + K, is the set of all vectors in V that can be written as the sum of two vectors, one in H and the other in K; that is,...
-
Show that w is in the subspace of R4 spanned by v1, v2, v3 where 7658 4328 8439 9447
-
What are the differences between a forged maker and a forged endorsement scheme?
-
Use as many directional terms as possible to describe therelationshipbetween: a. the antecubital region and the poplitealregion b. the acromial region and the mentalregion c. the gluteal region and...
-
Average rate of return-cost savings Maui Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $114,000 with a $10,000 residual value...
-
Alan was rated as excellent on his individual work performance evaluation, earning him $2,000, provided as a merit pay increase. His annual salary this year is $48,000. He works in a team of 3...
-
Josie spends $60 at the end of each month on cigarettes. If shestops smoking and invests the same amount in an investment planpaying 6% compounded monthly, how much will she have after fiveyears? 2...
-
Say we have a Boeing 747 whose longitudinal flight dynamics for a given flight condition may be approximated using the following state equation (uncontrolled motion; thus no need to consider the...
-
From a standard 52-card deck, how many 6-card hands consist entirely of clubs?
-
A copper sphere of 10-mm diameter, initially at a prescribed elevated temperature T;, is quenched in a saturated (1 atm) water bath. Using the lumped capacitance method, estimate the time for the...
-
Display a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces. A = 1 2 -3 3 1 0 0 0 2 1 0 0 2 5 -5 -8 -9 9 10 -7 -5 0 2 4 0 1 00 0 4 -7...
-
Display a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces. A = 1 -3 2 -4 -3 9 -6 2-4 -1 5 4-3 7 12 2 2 1 -3 2-4 0 0 5 -7 0 0 0 5 0...
-
With u = (-2, 3, 1) and A as in Exercise 8, determine if u is in Nul A. Data from in Exercise 8 Let and Determine if p is in Col A, where A = [v 1 v 2 v 3 ]. V = 0 6 V2 = -2 2 3 V3 = 0 -6 3
-
Bought an old van for 4000 from Peters promising to pay laterwhat is the transactions
-
Company has a following trade credit policy 1/10 N45. If you can borrow from a bank at 9,5% annual rate, would it be beneficial to borrow money and pay off invoices earlier?
-
Given the following exchange rates, which of the multiple-choice choices represents a potentially profitable inter-market arbitrage opportunity? 129.87/$1.1226/$0.00864/ 114.96/ B $0.8908/ (C)...
Study smarter with the SolutionInn App