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3. The Gell-Mann matrices are the following eight complex (3 x 3)-matrices: Го 1 0 G := | To -i 07 G2 := i 0 0 00 0 10 0 G3 := 0 -1 0 0 0 0 [o o G4 := 0 0 0 100 100 00 0 G5 := 0 0 0 i 0 0 [o o o7 G6 := 0 0 1 010 0 0 0 G7 := |00-i 0i0 [1 0 1 010 G8 := V3 00-2 Describe all complex (3 x 3)-matrices B for which there exists scalars x1,x2,...,xg EC such that xị G1 +x2 G2+ +x8 G8 = B.

3. The Gell-Mann matrices are the following eight complex (3 x 3)-matrices: Го 1 0 G := | To -i 07 G2 := i 0 0 00 0 10 0 G3 := 0 -1 0 0 0 0 [o o G4 := 0 0 0 100 100 00 0 G5 := 0 0 0 i 0 0 [o o o7 G6 := 0 0 1 010 0 0 0 G7 := |00-i 0i0 [1 0 1 010 G8 := V3 00-2 Describe all complex (3 x 3)-matrices B for which there exists scalars x1,x2,...,xg EC such that xị G1 +x2 G2+ +x8 G8 = B.

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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3. The Gell-Mann matrices are the following eight complex (3 x 3)-matrices: [0 1 0 G := |1 00 00 0 0 -i 0 i 0 0 0 0 0 [10 0 0 -10 0 0 0 G4 := |0 0 0 1 00 G2 := G3 := [o o o7 0 0 1 [o o G7 := |0 0 -i To o -i Gs := 0 0 0 0 0 [10 0 1 01 0 V3 G6 := G8 := 0 10 0 0 Describe all complex (3 x 3)-matrices B for which there exists scalars x1,x2, ...,xg EC such that x1 G1+x2 G2 +.+xg Gg = B.
Transcribed Image Text:3. The Gell-Mann matrices are the following eight complex (3 x 3)-matrices: [0 1 0 G := |1 00 00 0 0 -i 0 i 0 0 0 0 0 [10 0 0 -10 0 0 0 G4 := |0 0 0 1 00 G2 := G3 := [o o o7 0 0 1 [o o G7 := |0 0 -i To o -i Gs := 0 0 0 0 0 [10 0 1 01 0 V3 G6 := G8 := 0 10 0 0 Describe all complex (3 x 3)-matrices B for which there exists scalars x1,x2, ...,xg EC such that x1 G1+x2 G2 +.+xg Gg = B.
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