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Problem 3 Let L: R4 → R3 be given by L (6)-1 (3:01 - 4.12 + 1104) (15.12 + 9.23 - 21:04) 6.01 +9.12 + 4.13 - 5.14) a) (4 pts] Show that L is a linear transformation, and find the matrix representation A of L with respect to the standard bases for R' and R3. b) [3 pts] Use part a) to find a basis for ker(L). c) [3 pts] Use part a) for find a basis for im(L).
please answer correctly. i will not rate if it’s not correct and includes steps. Thank you. ex..2 3 4-6 -8 0 -1 31 Find a besis for the image of T and a basis for the kornel of T. (Thse bases sed not be orthonormal) 2. (10 points) Let V be the linear subspace of R consisting of all vectors that satisty z Here, z, denotes the ith componest of a vector E.) 3r2 and (a) What is the dimension...
Letter E please show steps and solution b7, c 6. -4 32 II. Linear equations and systems (b) 5y - 3(y +2) y+4 c) 3(2t - 4)-t+ 2x +7 2-3 e) 3756 4 (b) F= C+32 for C (c) 2x-Sy ng linear equations: (b) z+4y-8 ibed by the following information: (d) 3
please anyone answer all the questions as soon please 2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
Please do only e and f and show work null(AT) null(A) T col(A) row(A) Figure 5.6 The four fundamental subspaces (f) Find bases for the four fundamental subspaces of 1 1 1 6 -1 0 1 -1 2 A= -2 3 1 -2 1 4 1 6 1 3 8. Given a subspace W of R", define the orthogonal complement of W to be W vE R u v 0 for every u E W (a) Let W span(e, e2)...
Please show the formulas and steps. I am using office 360 o o T А B C С D E G H 1 J K L M N Р R S 1 Name Score 1 Score 2 - Total Score - Pass/Fail Column1 Columi - 2 Den 28 32 3 Scott 19 29 4 Colin 13 33 5 Dustin 27 34 6 Mike 20 30 7 James 25 50 8 Yvette 15 48 9 Karl 27 39 10 Frank 14...
write the steps clearly how to solve these qustions please. thank u. Version 3 Questions 1 - 2 A department store analyzed its recent sales and determined the relationship between the way the custom paid for the item and the price category of the item. Cash Credit card Debit card Less than $20 16 20 5 $20 - $100 19 19 7 More than $100 6 5 3 Q01 Find the probability of items purchased by cash or debit card...
please explain the steps as well! it’s imp for me to understand this question. i have attached the table for last part of the question Consider the second order non-homogeneous constant coefficient linear ordinary differ- ential equation for y(x) ору , dy where Q(x) is a given function of r For each of the following choices of Q(x) write down the simplest choice for the particular solution yp(x) of the ODE. Your guess for yp(x) will involve some free parameters...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
please show all work with full steps. thanks 1/4 Thermo I-Take-Home Final Summer 2019 Thermodynamics I: Final, Summer 2019 (7/30, Tuesday) (Total 200 points) Name: Consider a modern extra-supercritical pressure steam power plant that operates on a reheat-regenerative Rankine cycle with one open feedwater heater, one closed feedwater heater, and one reheater, as shown below. Steam enters the high-pressure turbine at 32 MPa and 700 °C and is condensed in the condenser at a pressure of 10 kPa. Steam exits...