Let E be the elementary matrix E 1 of Example 6. If A is a 2 x
Question:
Let E be the elementary matrix E1 of Example 6. If A is a 2 x 2 matrix, show that EA is the result of multiplying the first row of A by 3.
Example 6
Transcribed Image Text:
Example 6 We obtain some typical elementary matrices as follows. 1 0 0 1 0 [9] 0 1 0 0 0 1 0 1 001 0 0 (3) R₁ (2) R₁ + R3 SWAP(R₁, R₂) [3]= 1 0 2 = E₁ 0 0 1 0 0 1 0 1 0 10 0 0 01 = E₂ =E3 The three elementary matrices E₁, E2, and E3 correspond to three typical elementary row operations. Now, suppose that the mxm elementary matrix E corresponds to a certain elementary row operation. It turns out that if we perform this same operation on an arbitrary mxn matrix A, we get the product matrix EA that results upon multiplying A on the left by the matrix E. Thus we can carry out an elementary row operation by means of left multiplication by the corresponding elementary matrix. Problems 38-40 illustrate typical cases in the proof of the following theorem.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
EA 3 ...View the full answer
Answered By
SATEESH KUMAR
I HAVE COMPLETED B.TECH IN MECHANICAL ENGINEERING AND M.TECH IN COMPUTATIONAL MECHANICS( MECHANICAL ENGINEERING). I HAVE SPECIAL INTEREST IN NATURAL CONVECTION HEAT TRANSFER, FLUID MECHANICS.
0.00
0 Reviews
10+ Question Solved
Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
Question Posted:
Students also viewed these Mathematics questions
-
Suppose Kathy sells 2,200 posters. Use the following financial data ($40 sales price, $33 variable cost, $3,710 fixed expenses) to compute her operating leverage factor. If sales volume increases...
-
Consider a large population with = 90 and = 18. Assuming n/N < .05, find the mean and standard deviation of the sample mean, , for a sample size of a. 10 b. 3
-
Let E be the elementary matrix E 2 of Example 6 and suppose that A is a 3 x 3 matrix. Show that EA is the result upon adding twice the first row of A to its third row. Example 6 Example 6 We obtain...
-
Draw the BST that results when you insert the keys E A S Y QUE S T I O N in that order into an initially empty tree. What is the height of the resulting BST?
-
Classify each of the following costs as relevant or irrelevant to the decision at hand and briefly explain your reason. a. The purchase price of the old computer when replacing it with a new computer...
-
At the end of 2019, Sorter plc has accounts receivable of 900,000 and an allowance for doubtful accounts of 40,000. On January 16, 2020, Sorter determined that its receivable from Ordonez Orchards...
-
Jack DeCoster owned Quality Egg, LLC, an Iowa egg production company. Jacks son, Peter DeCoster, served as the companys chief operating officer. Jack also owned and operated several egg production...
-
Lower-of-Cost-or-MarketJournal Entries Dover Company began operations in 2010 and determined its ending inventory at cost and at lower-of-cost-or-market at December 31, 2010, and December 31, 2011....
-
Prepare journal entry for December 31 adjusting entry. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Entry"...
-
Penne Pesto is a small restaurant in the financial district of San Francisco. Customers order from a variety of pasta dishes. The restaurant has 50 seats and is always full during the four hours in...
-
Consider the 3 x 3 matrix First verify by direct computation that A 2 = 3A. Then conclude that A n+1 = 3 n A for every positive integer n. A = 2-1 -1 -1 2 -1 -1 2 -1
-
Use the method of Gauss-Jordan elimination (transforming the augmented matrix into reduced echelon form) to solve Problems 1120 in Section 3.2. 2x1 + 8x2 + 3x3 = 2 x1 + 3x2 + 2x3 = 5 2x1 + 7x2 + 4x3...
-
Ye Olde Creamery, a popular ice cream store on campus, has one line for its tasty treats. Students arrive at the Creamery about one every minute. Because of the new automated Wave N Pay payment...
-
Identify at least 4 different stakeholders that operate within the real estate environment in relation to the role they fulfill developer rental agent managing agent engine etc.
-
I have this data frame with the years and values, can you make a model to predict the value of meats,fish,fruits and vegetables and grains? based on the current values of the table and historical...
-
Alicia's Accessories is a global manufacturer of jewelry and hair accessories. The company currently relies on the COSO Internal Control-Integrated Framework to manage its corporate governance and...
-
11 in 6-8 Consider the structure below. You may also refer to Atachment C for better clarity on dimensions. BEDROOM 13-9 BEDROOM -TAAN VAIN ATTACHMENT C 6-8 BATH L 5-9 KITCHEN 5 DINING W/D 955 sq ft...
-
Draw the diagram for the decoder question below ( ( Digital System ) ) :b . . Decoders 3 - to 8 : Combine two 3 - to 8 decoders to create a 4 - to 1 6 decoder. Connect inputs A and B to the...
-
Suppose you are testing the following hypotheses: H0: > 4000 Ha: < 4000 Sample size is 16. The sample mean is 3920 and the sample standard deviation is 200. The significance level is .01. Assume...
-
AB CORPORATION ISSUED THE FOLLOWING 850 COMMON STOCKS PAR VALUE P100 750 PARTICIPATING PREFERRED STOCKS PAR VALUE P100 AT 3% AB CORPORATION DECLARED P100,000.00 DIVIDEND IN 2022.
-
Use graphic methods to compare the two groups? Microbiology A study was conducted to demonstrate that soy beans inoculated with nitrogen-fixing bacteria yield more and grow adequately without...
-
What is your overall impression concerning the pod weight in the two groups? Microbiology A study was conducted to demonstrate that soy beans inoculated with nitrogen-fixing bacteria yield more and...
-
1. For each pair of twins, compute the following for the lumbar spine: A = BMD for the heavier-smoking twin BMD for the lighter-smoking twin = x 1 x 2 B = mean BMD for the twinship = (x 1 + x 2 )/2...
-
Stan, a trained and licensed plumber, carelessly installed a steam heater in George's restaurant, and, as a result, George was seriously burned when a heater pipe exploded. Sylvie, a qualified...
-
What is meant by "informed consent"? When might it be appropriate for a company to use personality tests or drug tests in determining who to hire?
-
John and Yoko made a decision early one morning that they wanted to open a coffee house to share their music hobby with customers in the evenings. They decided that they wanted to enlist the help of...
Study smarter with the SolutionInn App