Question: Let S: R3 to R3 be a linear function such that S[1 1 1] = [1 2 3], S[1 1 0] = [1 1 2]

Let S: R3 to R3 be a linear function such that S[1 1 1] = [1 2 3], S[1 1 0] = [1 1 2] and S[1 0 0] = [1 0 1].

Find the matrix M such that for all x in R3, Mx = S(x).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

18. Determine whether each statement is true or false. Explain. (a) The transformation f : R > lR where f(l:) = mm + b with m, b # U, is a linear transformation. 011 (b) Let T : R3 a R2 be the linear...

Q:

Let L: R3 R3 be the linear function such that L[e1] = (2, 1, -1)T, L[e2] = (1, 2, l)T, L[e3] = (-1, 2, 2)T. Find L-1[e1], L-1[e2] and L-1[e3].

Q:

Let T: R3 R3 be a linear transformation such that: T(1, 1, 1) (2,0,-1) = T(0, 1,2)=(-3,2,-1) T(1, 0, 1) (1,1,0) = Find T(2,-1,1)

Q:

Consider a double-period security market consisting of a bank account with interest rate = 0.2 and one stock. Let the sample space be given by = {1, 2, 3, 4, 5} and let the price of the security be...

Q:

Consider a double-period security market consisting of a bank account with interest rate = 0.1 and one stock. Let the sample space be given by = {1, 2, 3} and let the price of the security be given...

Q:

Consider a double-period security market consisting of a bank account with interest rate = 0.1 and one stock. Let the sample space be given by = {1, 2, 3} and let the price of the security be given...

Q:

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

Q:

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)...

Q:

Here is the new homework question. Please review the General Homework instructions due to the instructor being so strict. Were there any podcasts or Homework document notes that you needed me to...

Q:

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

Q:

When a cold drink is taken from a refrigerator, its temperature is C. After 25 minutes in a C room its temperature has increased to 10C. (a) What is the temperature of the drink after 50 minutes? (b)...

Q:

It is assumed that a shaft caries four masses A, B, C and D which revolve in the same plane. The radii of rotations for these masses are 40 mm, 50 mm, 60 mm, and 30 mm. respectively. The given masses...

Q:

Two assets have the following expected returns and standard deviations when the risk - free rate is 5 % Asset A E ( r A ) = 1 0 % o A = 2 0 % Asset B E ( r B ) = 1 5 % B = 2 7 % An investor with a...

Q:

A company issues 1,050 shares of its common stock for $33,600 cash. Prepare journal entries to record this event under each of the following separate situations.