Question: The linear transformation S below is invertible. Find a formula for the inverse linear transformation, S-1. S: P1 M1,2, S (a + bx) =

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]

Step by Step Solution

★★★★★

3.35 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Suppose that S 1 M 12 P 1 has a form given by S 1 z w rz sw pz qw x where r s ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

961-M-L-A-L-S (6111).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Find bases for the kernel and range of the linear transformation S below. c + c-d)+(3a- b+ Sc +2)(a+b+c-2)

The linear transformation S: C4 C3 is not surjective. Find an output w C3 that has an empty pre-image (that is S-1 (w) = .) 2I 1-

Determine if the linear transformation S: P3 M22 is (a) Injective, (b) Surjective, (c) Invertible. +5b-2c + 2d a+2c + 5d

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]

Please help me find the answers Exercise 7.5.2: Evaluating compositions. Let Ti : R3 - R3, T2 : R' _ R3, and T3 : R -> R' be linear transformations defined as follows. 1+2 T1 2+3 T2 = 21 - $2 T3 2 C1...

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

C | | 2 6 2 4 1. Determinant of M = [ 1 4 6 4 2 2 2. M-1 = = 2(4) - 6(2) = 8 - 12 = -4 [ = 1 1 4 (6) 4 4 1 1 (2) 2 4 4 [ ] 1 = 1 2 3 2 1 2 3. a. Matrixes are invertible if they are multiplied by...

Ryan Ren Assignment Homework 2 due 09/14/2017 at 02:15pm PDT 1. (1 pt) Compute the following product. \u0014 \u0015\u0014 \u0015 \u0014 5 0 4 7 4 = 0 7 1 7 7 Math4A-02-M17-Wen \u0015 Answer(s)...

A. B. A. B. ( ( ) ) Beginning and Intermediate Algebra An open source (CC-BY) textbook Available for free download at: http://wallace.ccfaculty.org/book/book.html by Tyler Wallace 1 ISBN...

Ryan Ren Math4A-02-S17-Williams WeBWorK assignment number Week6 is due : 05/15/2017 at 06:01am PDT. The Gauchospace link for the course contains the syllabus, grading policy and other information....

Cathay Pacific Airways reported the following information in the notes to the financial statements of its 2012 annual report (in millions of Hong Kong dollars): Cathay Pacific also reported the...

The provision for warranties at 31 December 2019 was calculated using the following assumptions: There was no balance carried forward from the prior year. Estimated costs of repairs - products with...

Agile and Waterfall are examples of: A . Computer hardware B . Software development models C . Network protocols D . Programming languages

6. Could a nations production possibilities curve ever shift inward? Explain what such a shift would mean, and discuss events that might cause such a shift to occur.

For each of the following matrices, write the kernel as the span of a finite number of vectors. Is the kernel a point, line, plane or all of R3? (a) (2 -I 5) (b) (c) (d) (e) (f) G 3 ) 2 0 2 3 1 581...

Let A be a nonsingular m x m matrix. (a) Explain in detail why the solutions x*1,..., x*m to the systems (2.32) are the columns of the matrix inverse A-1. (b) Illustrate your argument in the case 231...

For each of the following matrices find bases for the (i) range, (ii) corange, (iii) kernel, and (iv) cokemel. (a) (b) (c) (d) 6 2 816 012 130 217 103 112 1-3 2 2 0 3 -6 0 -2 2 -3 -2 4 0 3 -3-6 6 3...

3 Youve observed the following returns on Crash-n-Burn Computers stock over the past five years: 15 percent, 15 percent, 17 percent, 27 percent, and 10 percent. a. What was the arithmetic average...

A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She Two sample T for Men vs Women randomly selected 56 men and 80 women to...

The Bush Oil Company is deciding whether to drill for oil on a tract of land that the company owns. The company estimates that the project would cost $8 million today. Bush estimates that once...