please can you help me with the answers for b and d for this linear Algebra...
help me answer this question of elementary linear algebra please Suppose T R2 R3 is a linear transformation that defined by T = [2x, - x₂ -x2 0 a) Find standard matrix of T b) Find matrix T with basis B = {u,Us} and B = {v}, V2, V3} where u = [).uz = (23 vi 12, V3 0 c) Find T (El) by using the formulations obtained in b) above.
5. Please help me solve the following Linear Algebra question. must show work. Use the standard matrix for the linear transformation T to find the image of the vectorv. T(x, y) _ (x + y, x-y,6x, 6y), v = (2,-2) T(v) =
i have some algebra questions. please give me all the correct answers. thank you Consider the vector space P1 aa+b:a,beR,ie the space of polynomials of degree at most 1. LetT: PiP1 bethe Then and T(4-4% If we identify these linear polynomials with vectors via then T(az +b)and hence T has matrix representation This matrix has characteristic polynomial From this we can determine that the linear transformation T has the set of eigenvalues in polynomial form, an associated set of eigenvectors...
LINEAR ALGEBRA HELP, PLEASE HELP, WILL UPVOTE 3. True or False: T below is a linear transformation - If true verify, if false give a counter example T: R2 + R2,T(x,y) = (x,xy)
5. Please help me solve the following Linear Algebra problem. Please show work. Let u = (1, 2, 3) and v = (-2, 1, 2) Find u- v and v u | Need Help? Lm m 1 Talk to a Tutor Read It Show My Work (Requiredy What steps or reasoning did you use? Your work c You can submit show my work an unlimited numbe
Linear Algebra! Practice exam #1 question 1 Thanks for sloving! 1- Transformations (3 points each) a) Given a linear transformation T :N" N" T(x,y)-(x-y,x+y) and B= {< l, 0>.< 1,1 >} , B = {< l, l>,< 0, l>} V,-< 2, l> Find V,T,and TVg) b) Given a linear transformation T:n'->n2 T(x,y,2)-(x-z,x +2y)and V =< 2,-I, I> B= {<l, 0, 1>.< 1, 1, 0 >, < 0, l, 0 >}, B' = {<l, l >, < 0, 1 >} Find...
linear algebra Let T: P2 - P4 be the linear transformation T() = 2x2p. Find the matrix A for T relative to the bases B = {1, x,x?) and B' = {1, x,x2, x3, x4} A=
i need help with this question. it is from linear algebra Assume that T is a linear transformation. Find the standard matrix of T 5T radians and then reflects points through the horizontal x-axis T: R2R2 first rotates points through 3 A= (Type an integer or simplified fraction for each matrix element. Type exact answers, using radicals as needed.)
Please help me to solve those problems. 17. Define a linear transformation from R2 to R3 by T(x1, x2) = (x1 - X2, X1 + 2x2,2x2). a. Give the standard matrix of T. b. Is there an X e R so that T(x) = (1,1,2)? 18. Let A = {{ }]. Which of [ 211, [3] and () are eigenvectors of A? 19. For the matrix -21 4 -1 1 0 -1 2 , find the cofactors C22 and C14....
LINEAR ALGEBRA: PLEASE FOLLOW THE COMMENT and please tell me what is the rotate matrix and why there is cos@ and -sin@ i think it should be cos@ and sin@ on the first row For each of the following linear operators on R2, find the matrix representation of the transformation with respect to the homogeneous coordinate system: (a) The transformation L that rotates each vector by 120◦ in the counterclockwise direction (b) The transformation L that translates each point 3...