Fill in the details of the proof of Proposition 5.53. If W is a finite-dimensional subspace of
Question:
If W is a finite-dimensional subspace of an inner product space, then (W⊥)⊥ = W.
This result is a direct corollary of the orthogonal decomposition derived in Proposition 5.49.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (14 reviews)
Suppose v W Then we write v w z where w ...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
-
Work out the details of the proof of Proposition 18.
-
Fill in the complete details of the proof of Theorem 5.9. If v1,... , vn form an orthogonal basis, then the corresponding coordinates of a vector In this case, its norm can be computed using the...
-
Fill in the details of the Proof of Theorem 15.5. Theorem 15.5 Where i.. is the mean of the observations of the ith value of the first treatment, ·j· is the mean of the jth value of the...
-
(a) Find the Maclaurin series for the function f(x)= ln(1+x) and hence that for In(1+x) (b) By keeping the first four terms in the Maclaurin series for In(1+x) integrate the function In(1+x) from x =...
-
Charles Brooks began working as an independent supplier for Georgia-Pacific, LLC, when the paper products manufacturer acquired a mill in Crossett, Arkansas. Brooks soon organized Charles Brooks Co....
-
The difference in speed between red light and violet light in glass is smaller than the difference in speed between the same two colors in a certain type of plastic. For which material, glass or...
-
Describe multiple interfaces and explain why or when they are needed.
-
You were recently approached by one of your clients, Wendy Wonders, the Chief Financial Officer of Rock Group Limited ( RGL), a Canadian public company with a 31 December year- end. RGL manufactures...
-
Frank is usually the first one to arrive at Costco's main warehouse. He primarily builds the work schedules for all the employees in the stock room and manages the performance of the entry-level...
-
Allie has bought a new apple orchard. The orchard has a single file of trees, numbered from 1 to N. Each tree has a certail number of ripe apples. Allie has a rule she wants to follow. She wants to...
-
(a) Show that if W, Z Rn are complementary subspaces, then W and Z are also complementary subspaces. (b) Sketch a picture illustrating this result when W and Z are lines in R2.
-
Prove Lemma 5.44. If w1........wk span W and z1.........zj span Z, then W and Z are orthogonal subspaces if and only if (wi, zj) = 0 for all i = 1,... , k and j = 1,... , l.
-
In Exercises 8996, solve each equation. 512x = 8 7x - [6 3(2 +53) + 5x]
-
Investment a will return $2000 a month for 7 years. I pay $125000 for it. What rate of return will i get?
-
You Invest $3000 by buying 100 shares of Driss Inc at a price of $30 per share. One year from now, Driss pays you a dividend of 40 cents per share. One year later (i.e. two years from now), you get...
-
You purchased a 180 day T-bill with a face value of $100,000, 120 days after it was issued. The market yield when you purchased it was 3%. What was the price you paid for the T-bill? Price you paid...
-
Sain Corp. has preferred stock that was issued 3 years ago. It currently offers a return of 7.2% and pays a dividend of $2.25 per share. What is the price on the preferred stock?
-
Using the 2020/21 threshold, if Bob earns gross wages of $1000/week, what effect, if any, would having a HELP Debt have on his net pay, and why? (reference about HELP...
-
What are the main characteristics of NOSQL systems in the areas related to data models and query languages?
-
In Problem use absolute value on a graphing calculator to find the area between the curve and the x axis over the given interval. Find answers to two decimal places. y = x 3 ln x; 0.1 x 3.1
-
In the fall, Jay Thompson decided to live in a university dormitory. He signed a dorm contract under which he was obligated to pay the room rent for the full college year. One clause stated that if...
-
An electric motor on a conveyor burned out. The foreman told the plant manager that the motor had to be replaced. The foreman indicated that there were no alternatives and asked for authorization to...
-
Bill Jones's parents insisted that Bill buy himself a new sport shirt. Bill's father gave specific instructions, saying the shirt must be in "good taste, that is, neither too wildly colored nor too...
-
Recommend an optimal improvement to the company's future financial goals.
-
Your bank account pays a nominal interest rate of 1 1 % , compounded semi - annually. Your plan is to deposit $ 2 , 4 0 0 in the account at the end of each of the next 1 0 years. How much will you...
-
A partnership has total equity of $464,000. Partnership equity consists of Green, Capital, $324,000, and Tan, Capital, $140,000. Net income and loss is shared in a ratio of 85% to Green and 15% to...
Study smarter with the SolutionInn App