I only need 1.4 answered. Q1.4 4 Points Let A= - C 1) . Compute [A]B...
Q1 17 Points Let T: M2x2(R) P2(R), H (2a +b)x2 + (6 – c)x +(c – 3d). Let B = (16 0) (0 :), (1 o) 9)) = (6 7')(*: -) ) 6 :-)) B' = C = (x2,æ, 1) C'= (x + 2, x + 3, x2 – 2x – 6). You may assume that all of the above are bases for the corresponding vector spaces. Q1.1 2 Points Show that T is linear. Q1.2 9 Points Compute [T),...
Let a T: M2x2(R) + P2(R), 6 d H (2a +b)x2 + (6 – c)x +(c – 3d). с Let B = 9 (6 8), (8 5), (1 3), ( )) (CO 11),( ( 1),66 1 B' 1 1 ? :-)) C = (x²,2,1) C' = (x + 2,2 +3,22 – 2x – 6). 3 Let A 14). Compute [AB (2pt) Enter your answer here and T(A) C (2pt). Enter your answer here
Need help!!
1) Let A, B, C, and D be the matrices defined below. Compute the matrix expressions when they are defined; if an expression is undefined, explain why. [2 0-1] [7 -5 A= .B -5 -4 1 C- ,D= (-5 3] [I -3 a) AB b) CD c) DB d) 3C-D e) A+ 2B 2) Let A and B be the matrices defined below. 4 -2 3) A=-3 0, B= 3 5 a) Compute AB using the definition of...
(3 points) Let A= [ 1 -2 (1 2 -4 2 0 -4 3 -3 11 2 10 0 -8 (a) Find a basis for the column space of A. Answer: { Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8) (b) What is the dimension of the row space of A? (c) What is the dimension of the solution space of A? where a € R. Find the value...
Q2 15 Points Let A € Mnxn(R). Define trace(A) = {1-1 Qiji (i. e. the sum of the diagonal entries) and tr : Mnxn(R) +R, A H trace(A). Q2.1 2 Points Show that U = {A € Mnxn(R): trace(A) = 0} is a subspace of Mnxn (R). Please select file(s) Select file(s) Q2.2 4 Points Compute dim(im(tr)) Enter your answer here and dim(ker(tt) Enter your answer here each (1pt) Justify your answer. (2pt) Enter your answer here Q2.3 5 Points...
i answered part A and B . i need the answer to part C. please
clearly identify the answer and write out everything
This question has multiple parts. Work all the parts to get the most points. For the following reaction: с 1. NaOCH CH3 Hoc оснен, OCH2CH3 OCH CH 2. H30* a Draw the major organic product. - 030- T mood b Write a mechanism for the step shown below, using curved arrows to show electron redistribution. Arrow-pushing Instructions...
Q5 8 Points Let A = -4 0 -3 2 3 0 -2 -1 3 Q5.1 6 Points Compute PTA (x) (the characteristic polynomial of TA), Write monomials in descending order of their exponent, x^n for 3" and a/b for Example: 5/2 (polynomial of degree 0) -2x+1/3 (polynomial of degree 1) 2x^2-3x+12 (polynomial of degree 2) Enter your answer here give the eigenvalue(s) of TA (in ascending order if multiple exists, separated by a comma and with a blank after...
Let L: R3 --> R3 be defined by
Only need c-e solved.
6, (24 points) Let L : R3 → R3 be defined by (a) Find A, the standard matrix representation of f (b) Let 0 -2 2. Check that倔,G, u) is a basis of R3. (c) Find the transition matrix B from the ordered basis U (t, iz, a) to the standard basis {e, е,6). For questions (d) and (e), you can write your answer in terms of A...
I. Let f : R2 → R be defined by f(x)l cos (122) 211 Compute the second order Taylor polynomial of f near the point xo - 0. A Road Map to Glory (On your way to glory, please keep in mind that f is class C) a) Fill in the blanks: The second order Taylor's polynomial at h E R2 is given by T2 (h) = 2! b) Compute the numbers, vectors and matrices that went into the blanks...
Show step by step please, I need A, B and C, THANKS!
Let (V,<,>) be a finite-dimensional Euclidean space n and let T be linear operator in V. Are the following statements true? Show your answer. (show by and =) A. T is orthogonal if and only if t preserves angles, that is, if e is the angle between a and B, then 0 is the angle between T(a) and T(B). B. T is orthogonal if and only if T...