Consider the linear transformation: M12 P1 from the set of 1 2 matrices to the
Question:
S ([a b]) = (3a + b) + (5a + 2b)x
Prove that S is invertible. Then show that the linear transformation
R: P1 → M12, R(r + sx) = [(2r - s) (-5r + 3s)]
is the inverse of S, that is S-1 = R.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 53% (15 reviews)
Determine the kernel of S first The condition that S a b 0 becomes 3a b 5a 2bx 0 ...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Consider the linear transformation of R3 represented with respect to the standard bases by this matrix. (a) Compute the determinant of the matrix. Does the transformation preserve orientation or...
-
The linear transformation R: M12 M21 is invertible. Determine a formula for the inverse linear transformation R-1: M21 M12. a + 3b
-
Prove that the linear transformation S is invertible. Then find a formula for the inverse linear transformation, S-1, by employing a matrix inverse. S: P1 M1,2, S (a + bx) = [3a + b 2a + b]
-
Five different laboratories participated in an interlaboratory study involving determinations of the iron level in water samples. The results below are replicate determinations of Fe in ppm for...
-
Use the information in Table as well as the assumption about foregone income made in the chapter to calculate the average opportunity cost of a year in college for a student at a four-year private...
-
What are the trade-offs that project managers must manage?
-
Find the = 0.05 critical value for the chi-square statistic with 14 degrees of freedom.
-
A stockbroker calls on potential clients from referrals. For each call, there is a 10% chance that the client will decide to invest with the firm. Fifty five percent of those interested are found not...
-
Compare the client's business processes with best-practice business processes by completing the following activities: Compare the client's business processes with best-practice business processes by...
-
Use Solver to create Answer and Sensitivity Reports for question 20 at the end of Chapter 2 and answer the following questions: a. How much can the price of watermelons drop before it is no longer...
-
Verify that the function below is a linear transformation. 2ab
-
The linear transformation S below is invertible. Find a formula for the inverse linear transformation, S-1. S: P1 M1,2, S (a + bx) = [3a + b 2a + b]
-
What percent of Camille's business income is basic federal income tax? Camille operates a child care service from her home. Her gross business income for 2015 amounted to $42 350. Her tax-deductible...
-
How can effective business management be achieved?
-
Base Inc. (Base) and Space Ltd. (Space) formed a joint venture, Moon Ltd., on January 1, 2023. Base invested plant and equipment with a book value of $300,000 and a fair value of $900,000 for a 30%...
-
A man sailed off from the North Pole. After covering 2,000 miles in one direction he turned west, sailed 2,000 miles, turned North and sailed ahead another 2,000 miles till he met his friend. How far...
-
Suppose that you borrow $4,095 now, promising to repay the loan principal plus accumulated interests in 4 years at interest rate i = 6.7% per year. How much would you repay at the end of 4 years?
-
One of the forecasters below is making a bad decision which could lower the quality of the revenue baseline they forecast. Which one is it? A. Jamiya Forecaster decides to consult appropriate...
-
The purpose of limiting your scope when planning a writing project is to a. Make your job easier. b. Reduce the number of things you need to think about. c. Make sure your memos are never longer than...
-
Which of the following raises the credibility of areport? Which of the following raises the credibility of a report? Multiple Choice avoiding predictions avoiding the use of cause-effect statements...
-
Find the solution x*1 to the system and the solution x*2 to Express the solution to as a linear combination of x*1 and x*2. I 2x -3-4y 34)y -3-4)(
-
Let Given that and find a solution to Ax = 2b1 + b2 112 253 xi =I-11 solves Ax-b,-13 x;-| 51 solves Ax=b-=14 10 14
-
(a) Show that are particular solutions to the system (b) Find the general solution. 2-5 1-4-6)x=1-3 3 2-4 5
-
1500 pound per hour of a waste mixture of 40% benzene, 50% toluene and 10% of water is burned with 25% excessive air. Determine the total heat released and the percent by volume of each component in...
-
Katsura Corporation incurred pre-operating costs: Investigatory expenses of $18,000 New employee training $25,000 Advertising $10,000 Land and building for use as a retail store when opened $150,000...
-
Davis Manufacturing uses a standard cost system. The allocation base for overhead costs is direct labor hours. Actual variable manufacturing overhead costs were $50,000 and actual fixed overhead...
Study smarter with the SolutionInn App