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
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). Is T invertible? (1pt) O Yes O No
Show that T is linear Q1 17 Points Let b T: M2x2(R) + P2 (R), H (2a+b)x2 + (b – c)x+(c – 3d). с d Let 1 0 0 0 B = (( b); C8 1 0 0 0 0 1 :)C. 11), 1) (7.1)) i), (6 ;)) 1 0 1 B = (CO 2 -1 1 1 1 C = (x², x, 1) C' = (x + 2, x + 3, x2 – 2x – You may assume that...
Q1 Nomenclature 20 Points Give the IUPAC name for each of the following compounds, use R/S or cis/trans where appropriate. Use correct formatting, spacing, and spelling. Q1.1 4 Points my Enter your answer here Q1.2 4 Points OH Enter your answer here Q1.3 4 Points Br Br Enter your answer here Q1.4 4 Points H3CO Enter your answer here
I only need 1.4 answered. Q1.4 4 Points Let A= - C 1) . Compute [A]B (2pt) 0 1 Enter your answer here and (T(A)]C (2pt). Enter your answer here Write both above as row vectors with no blanks. Q1.4 4 Points Let A= - C 1) . Compute [A]B (2pt) 0 1 Enter your answer here and (T(A)]C (2pt). Enter your answer here Write both above as row vectors with no blanks.
2 points) Let H be the subspace of P2 spanned by 2x2 - 6x +3, x2 -2x 1 and -2r221 (a) A basis for H is Enter a polynomial or a list of polynomials separated by commas, in terms of lower-case x . For example x+1,x-2 (b) The dimension of H is c)Is (2x2 6x +3, x2 - 2x +1, -2x2 +2x 1 a basis for P2? 2 points) Let H be the subspace of P2 spanned by 2x2 -...
Let x = [X1 X2 X3], and let T:R3 → R3 be the linear transformation defined by x1 + 5x2 – x3 T(x) - X2 x1 + 2x3 Let B be the standard basis for R3 and let B' = {V1, V2, V3}, where 4 4. ---- 4 and v3 -- 4 Find the matrix of T with respect to the basis B, and then use Theorem 8.5.2 to compute the matrix of T with respect to the basis B”....
Let T. M2(R) →P2(R) be defined by T.(Iga)-(+b) + (b+c) Let T2: P2 (R) → Pl (R) be defined by Tap(x))-p' (x) (c+ d)x2 2. Find Ker(T2 . T) and find a basis for Ker(T2。T).
Let T:P2 P2 be the linear transformation defined by T(p(x)) = p(4x + 5) - that is T(CO + C1x + c2x2) = co+C1(4x + 5) + c2(4x + 5)2. Find [7]3 with respect to the basis B = {1, x, x?}. Enter the second row of the matrix [7]z into the answer box below. i.e.. if A = [7]B. then enter the values a21, a22, 223, (in that order), separated with commas.
Q3 14 Points Consider the vector space P2(R). Let T1, T2, T3 be 3 distinct real numbers and 21, 22, az be three strictly positive real numbers. Define (p(x), q(x)) = Li_1 Qip(ri)q(ri) Q3.1 5 Points Show that this P2 (R) together with (-:-) is an inner product space. Please select file(s) Select file(s) Save Answer Q3.2 2 Points Give a counter example that (-, - ) is not an inner product when T1, 12, 13 are still distinct real...