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Find matrix of the mapping A in bases Ez and E2.2, i.e find E3A®2.2, where Ez and E2.2 a) denote the standard basis of Z and Z, respectively. b) Find pre-image A-1 {C )}of ( ) e Z, i.e. find all vectors r E Zž such that A(2) = (" *).

Find matrix of the mapping A in bases Ez and E2.2, i.e find E3A®2.2, where Ez and E2.2 a) denote the standard basis of Z and Z, respectively. b) Find pre-image A-1 {C )}of ( ) e Z, i.e. find all vectors r E Zž such that A(2) = (" *).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2,2 Consider basis X of Z given as X = ((0,3, 1), (1,0,0), (0, 1,3)). Consider basis y of Z given as - (6 ?) ( 9) (' )-(C ). Consider mapping A E L(Z3, Z) given by matrix 2 1 1 3 1 XĄY = 2 1 4 0 0 1
Transcribed Image Text:2,2 Consider basis X of Z given as X = ((0,3, 1), (1,0,0), (0, 1,3)). Consider basis y of Z given as - (6 ?) ( 9) (' )-(C ). Consider mapping A E L(Z3, Z) given by matrix 2 1 1 3 1 XĄY = 2 1 4 0 0 1
Find matrix of the mapping A in bases Ez and E2.2, i.e find E3A°2,2, where Ez and E22 a) denote the standard basis of Z and Z, respectively. {C :)} « (* :)- E Z2, i.e. find all vectors x E Z 1 b) Find pre-image A- of 1 such that 3 A(=) = (" *).
Transcribed Image Text:Find matrix of the mapping A in bases Ez and E2.2, i.e find E3A°2,2, where Ez and E22 a) denote the standard basis of Z and Z, respectively. {C :)} « (* :)- E Z2, i.e. find all vectors x E Z 1 b) Find pre-image A- of 1 such that 3 A(=) = (" *).
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