Show that if U and V are subspaces of Rn and U V = {0}, then
Question:
dim (U + V) = dim U + dim V
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
Let U and V be subspaces of R n with the property that U V 0 If either U 0 or V 0 ...View the full answer
Answered By
Tejasva soni
have one and a half year of online teaching experience as an advanced physics subject expert. I provide quality and simplistic answers to the problems with clarity to comprehend them.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions

Show that if u and v are linearly independent vectors, then so are u + v and u  v.

Let V be an inner product space. Show that if u and v are orthogonal unit vectors in V, then u  v = 2.

Let f: Rn Rm be a matrix transformation defined by f(u) = Au, where A is an m x n matrix. Show that if u and v are vectors in Rn such that f(u) = 0 and f(v) = 0, where Then f(cu + dv) = 0 for any...

United Research Associates (URA) had received a contract to produce two units of a new cruise missile guidance control. The first unit took 4,000 hours to complete and cost $ 30,000 in materials and...

What is the National Association of Securities Dealers Automated Quotation System (NASDAQ)?

Assume that the U.S. dollar is the subsidiary's functional currency. What balances does a consolidated balance sheet report as of December 31, 2013? a. Marketable equity securities = $16,000 and...

Repeat Problem 928 with A = 10100100 and B = 10101001. Problem 928 The program in a computer compares two signed 2s complement numbers A and B by performing subtraction A  B and updating the...

This problem continues the accounting process for Fitness Equipment Doctor, Inc., from the Continuing Problem in Chapter 2. The trial balance for Fitness Equipment Doctor, Inc., at April 30, 2018,...

Prepare projected income, balance and cash Flows Statements. Projections should be based on research performed on your company and its industry. Use historical, trend, ratio data and current and...

TufStuff, Inc., sells a wide range of drums, bins, boxes, and other containers that are used in the chemical industry. One of the company's products is a heavyduty corrosionresistant metal drum,...

Is it possible to find a pair of twodimensional subspaces U and V of R3 such that U V = {0}? Prove your answer. Give a geometrical interpretation of your conclusion.

Given the vectors (a) Show that x1 and x2 form a basis for R2. (b) Why must x1, x2, x3 be linearly dependent? Xi = X2 =

Suppose that, prior to the passage of the Truth in Lending Simplification Act and Regulation Z, the demand for consumer loans was given by QdpreTILSA = 12  100P (in billions of dollars) and the...

How can quality and profitability be correlated?

Define Taguchis quality loss function.

List Garvins eight dimensions of product quality.

Discuss the five paradigms of quality.

Compare the quality gurusDeming, Juran, Crosby, Feigenbaum, Ishikawa and Taguchi and present a summary of their approaches. Visit www.juran.com and study the Juran Management System (JMS) and prepare...

During a certain leap year, Josephines birthday is on Tuesday, May 18. What is the minimum number of years in which Josephines birthday will fall on a (a) Friday? (b) Saturday?

A statistical study shows that the fraction of television sets of a certain brand that are still in service after x years is given by f (x) = e0.15x. (a) What fraction of the sets are still in...

Prove that if u and v are vectors in a complex inner product space, then 4 4 4

Prove that if f = f1(x) + i f2(x) and g = g1(x) + ig2(x) are vectors in complex C[a, b] then the formula defines a complex inner product on C[a, b]. 1(x)i2(x)][gi( Ja

Let f = f1(x) + i f2(x) and g = g1(x) + ig2(x) be vectors in complex C[0, 1] and let this space have the inner product defined in Exercise 39. Show that the vectors where m = 0, 11, 2, ..., form an...

Assume Gabriel is single and has a private health insurance policy. His taxable income is $100,000. On the basis, he is aged under 65 years old and pays premium of $2,500 per year. Calculate the...

Why do banks have to present the financials of the parent companies as well as the consolidated balance sheet reportings?

Prepare following budget using the information below a) Production budget b) Direct material Budget c) Direct labor budget