7331512 - L R3 R3 be A such that: , , = Lv1 v2 v3 Av1v2v3...

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Solution: Given: = Lv1 - - 2v1 v2 3v3 = + - Lv2 4v1 3v2 v3 =- Lv3 v2 and = ,- ,- xB 2 1 1 Where, , , & v1 v2 v3 x are vector spaces. Let : L R3 R3 be defined by , , = - - , + - , - Lv1 v2 v3 2v1 v2 3v3 4v1 3v2 v3 v2 Let matrix of linear operator for :
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Unformatted text preview: L R3 R3 be A such that: , , = Lv1 v2 v3 Av1v2v3 Hence, = - ---A 2 1 343 10 10 Again, = LxB AxB Now, = - -xB 2 1 1 = - ---- - = + +- + LxB 2 1 343 10 102 1 1 4 1 38 3 11 Hence, = = , , LxB 861 8 6 1...
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This note was uploaded on 07/22/2011 for the course ME 3 taught by Professor Prof.ramachandran during the Spring '11 term at Indian Institute of Technology, Kharagpur.

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