3) Let T be a linear transformation from M22(R) to P3(R). Let B= (4 5] [1...
2) Let T be a linear transformation from P3(R) to M22(R). Let B= (1+2x + 4x2 + 8x3), (1 + 3x + 5x2 + 10x3), (1 + 4x + 7x2 + 13r%),(1 + 4x + 7x2 + 14x²). Let C= [] [ 1];[1 ] [ ] 0 17 40 Let M= 13 31 36 124 22 52 -61 -209 23 55 -64 -220 be the matrix transformation of T from basis B to C. -47 -161 The closed form of...
3) Let T be a linear transformation from M22(R) to P3(R). Let B= [11] ]1 2] [3] Let C = (11 + 5x +(-3) 22 +(-1) 23), (13+6x + (-3) x2 + (-2) 2*), (8 + 3x + (-1).x2 + (-2) 23),(-5+(-2) x + 1x2 + 12) Let M= -15 2 -27 -71 28 -4 47 126 -24 5 35 -95 -67 14 -104 -276 be the matrix transformation of T from basis B to C. Let v= [1 The...
For each transformation below, find the value of T(U). 1) Let T be a linear transformation from R$ to M2 (R) 2 Let B= -1 2 3 Let C= [1].[133] [131] 1 -22 -21 -22 -21 -59 14 13 Let M= be the matrix transformation of T from basis B to C 37 -59 30 30 -19 -1 Let v= 2 2 The value of T(0) = 2) Let T be a linear transformation from P3 (R) to M22(R). Let...
For each transformation below, find the closed form of the transformation. 1) Let T be a linear transformation from R$ to M22 (R) [i Let B=1 0:00 [. :] [11] [12] [0 ] Let C= 12 41 -17 -5 65 -27 92 Let M = be the matrix transformation of T from basis B to C 17 58 -15 -51 81 The closed form of the transformation is Tb 3-1 2) Let T be a linear transformation from P3(R) to...
please finish all blanks in 1) 2) and 3) For each transformation below, find the value of T(U). 1) Let T be a linear transformation from R to M22(R). Let B= 2 5 6 Let C= [ ][ 2 :11; }(31 70 165 -116 273 Let M = 135 -223 -490 -811 be the matrix transformation of T from basis B to C -255 -600 -993 -422 2 Let v= 0 The value of T(U) 2) Let T be a...
Find a linear transformation T : R 3 → M22 such that T 1 2 4 = ( 4 1 7 2 ) , T 0 3 5 = ( 0 7 2 4 ) , and T 2 0 2 = ( 1 4 1 3 ) . 9. (4 marks) Find a linear transformation T:R3 M22 such that T | 2 = 1 ( 7 2...
For each transformation T and basis B and C, find the corresponding matrix representation M of T from basis B to basis C. 1) Let T6 = la + 2b + 4c 3a +86 + 16c la + 3b + 6c be a linear transformation. -2a +(-7) + (-14)c] с 1 Let B= 2 > -1 4 0 2 Let C = [11] [32] [] [1] The matrix M for transformation T from basis B to C would be: 2)...
4. Let T: R - R be a linear transformation such that 2x1 32 32 3 -1 22 + T3 T 2 Find the standard matrix of T. 5. Compute 3A - 4B, AB and BA: 021 3 1 0 and B -2 0 1 3 2 1 A = 1 -4 1 1 4 0 6. Find the inverse of each matrix BEE 0 1 -2 4 -6 and 1 1 3 -5 3 -1 1
4) b) uat points) Find the comple slution t hf folwing system of inear 1x + 1x2 + 2x3 + 3x4 +4x5 10 2x1 + 1x2 + 2x3 +4x4 + 6xs 13 0x1 +0x2 +0x3 + 1x4 + 2x5 3 b) (5 points) Is the systenm 1 x21 consistent? Why or why not? 2 341 2341 1-2-2-2-7 4) b) uat points) Find the comple slution t hf folwing system of inear 1x + 1x2 + 2x3 + 3x4 +4x5 10...
Q22 A` = AP, B` = BQ 5.4 Composition of Linear Transformations229 Let T be the linear transformation from P3 over R to R2x2 defined by ao T (ao+ ax azx a3x) ao t a3 a3 Find bases A' of Pa and B' of R22 that satisfy the conditions given in Theorem 5.19. 23. Let T be the linear transformation from R2x2 to P2 0ver R defined by a12 a22 +(a1-a22)x +(a12 -a21)x T a22 Find bases A' of R2x2...