At least one of the answers above is NOT correct. (1 pt) Let ej = (1,0),...
caution!! please ignore this question. it is uploaded accidentally. thanks Let ē- (1,0), 2, - (0,1), 1 = (-5, -7) and 2: - (-4,6). Let T:R? Rº be a linear transformation that sends ēj to 2, and ēs to 23. If T maps (2, 3) to the vectory, then (Enter your answer as an ordered pair, such as (1.2), including the parentheses.)
Question Let T : R2 + Rº be a linear transformation with PT(x) = x2 – 1. Determine/Compute the linear transformation T2 : R2 + R?, UH T(T(v)).
Q8 6 Points Let T : R2 + Rº be a linear transformation with PT(x) = x2 – 1. Decide whether or not such a T is always diagonalizable. Justify your answer.. Q8.2 3 Points Determine/Compute the linear transformation T2 : R2 + R2, VH T(T(u)).
At least one of the answers above is NOT correct. (1 point) Let K Z7, the field of integers modulo 7.(You can read about fields in Chapter 1.8 of the textbook). Consider the vector space P2 of polynomials of degree at most 2 with coefficients in K Are the polynomials 4x2 + 3x + 3, 2r2 + 5x + 4, and 5x2 + 2x + 5 linearly independent over Z linearly independent If they are linearly dependent, enter a non-trivial...
can someone help me with this~ At least one of the answers above is NOT correct. 2 1 (1 pt) Let M 2 5 Find formulas for the entries of M", where n is a positive integer. M" Note: You can earn partial credit on this problem. At least one of the answers above is NOT correct. 2 1 (1 pt) Let M 2 5 Find formulas for the entries of M", where n is a positive integer. M" Note:...
QUESTION 2 20 points Save Answer (a) Let A- 101 112 and let T: R 225) T: P = R o via maria menina dentar, TV6 – AR.20 - ( +R be the matrix mapping defined by T(x) = ist wens meer under T is the vector b. and determine whether X is unique (b) Let : R2 + R be the linear transformation that maps the vector - Cinto (6and maps v = ()ino (9) Use the fact that...
i keep getting x1 wrong... t least one of the answers above is NOT correct. (4 points) Find the set of solutions for the linear system 2x + - 5x2 2x2 - x - + 8x3 - 2x3 + x 12x4 x = = = 18 5 - 12 If your answer includes any arbitrary parameters name them 51, 52, etc., as needed. (x1, x2, x3, xx) = ( VII - 265-881 | = (-12-8112 61 5 ) Note: You...
At least one of the answers above is NOT correct. (1 point) Solve the system -6 -2 dc dt T 20 6 -3 with c(0) T: 1 Give your solution in real form. x1 = e^(t)-3cos (2t)- 10 sin(2t)) X2 = e^(1)(-33sin(2t)+cos(2t)) An ellipse with counterclockwise orientation 1. Describe the trajectory
Let T be the linear transformation from R3 into R2 defined by (1) For the standard ordered bases a and ß for R3 and IR2 respectively, find the associated matrix for T with respect to the bases α and β. (2) Let α = {x1 , X2, X3) and β = {yı, ys), where x1 = (1,0,-1), x2 = - (1,0). Find the associated (1,1,1), хз-(1,0,0), and y,-(0, 1), Уг matrices T]g and T12
Question 19: Linear Transformations Let S = {(u, v): 0 <u<1,0 <v<1} be the unit square and let RCR be the parallelogram with vertices (0,0), (2, 2), (3,-1), (5,1). a. Find a linear transformation T:R2 + R2 such that T(S) = R and T(1,0) = (2, 2). What is T(0, 1)? T(0,1): 2= y= b. Use the change of variables theorem to fill in the appropriate information: 1(4,)dA= S. ° Sºf(T(u, v)|Jac(T)| dudv JA JO A= c. If f(x, y)...