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Title: Complex Matrix -- from Wolfram MathWorld

Open Graph Title: Complex Matrix -- from Wolfram MathWorld

X Title: Complex Matrix -- from Wolfram MathWorld

Description: A matrix whose elements may contain complex numbers. The matrix product of two 2×2 complex matrices is given by (1) where R_(11) = u_(11)x_(11)+u_(21)x_(12)-v_(11)y_(11)-v_(21)y_(12) (2) R_(12) = u_(12)x_(11)+u_(22)x_(12)-v_(12)y_(11)-v_(22)y_(12) (3) R_(21) = u_(11)x_(21)+u_(21)x_(22)-v_(11)y_(21)-v_(21)y_(22) (4) R_(22) = u_(12)x_(21)+u_(22)x_(22)-v_(12)y_(21)-v_(22)y_(22) (5) I_(11) = v_(11)x_(11)+v_(21)x_(12)+u_(11)y_(11)+u_(21)y_(12) (6) I_(12) =...

Open Graph Description: A matrix whose elements may contain complex numbers. The matrix product of two 2×2 complex matrices is given by (1) where R_(11) = u_(11)x_(11)+u_(21)x_(12)-v_(11)y_(11)-v_(21)y_(12) (2) R_(12) = u_(12)x_(11)+u_(22)x_(12)-v_(12)y_(11)-v_(22)y_(12) (3) R_(21) = u_(11)x_(21)+u_(21)x_(22)-v_(11)y_(21)-v_(21)y_(22) (4) R_(22) = u_(12)x_(21)+u_(22)x_(22)-v_(12)y_(21)-v_(22)y_(22) (5) I_(11) = v_(11)x_(11)+v_(21)x_(12)+u_(11)y_(11)+u_(21)y_(12) (6) I_(12) =...

X Description: A matrix whose elements may contain complex numbers. The matrix product of two 2×2 complex matrices is given by (1) where R_(11) = u_(11)x_(11)+u_(21)x_(12)-v_(11)y_(11)-v_(21)y_(12) (2) R_(12) = u_(12)x_(11)+u_(22)x_(12)-v_(12)y_(11)-v_(22)y_(12) (3) R_(21) = u_(11)x_(21)+u_(21)x_(22)-v_(11)y_(21)-v_(21)y_(22) (4) R_(22) = u_(12)x_(21)+u_(22)x_(22)-v_(12)y_(21)-v_(22)y_(22) (5) I_(11) = v_(11)x_(11)+v_(21)x_(12)+u_(11)y_(11)+u_(21)y_(12) (6) I_(12) =...

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DC.TitleComplex Matrix
DC.CreatorWeisstein, Eric W.
DC.DescriptionA matrix whose elements may contain complex numbers. The matrix product of two 2×2 complex matrices is given by (1) where R_(11) = u_(11)x_(11)+u_(21)x_(12)-v_(11)y_(11)-v_(21)y_(12) (2) R_(12) = u_(12)x_(11)+u_(22)x_(12)-v_(12)y_(11)-v_(22)y_(12) (3) R_(21) = u_(11)x_(21)+u_(21)x_(22)-v_(11)y_(21)-v_(21)y_(22) (4) R_(22) = u_(12)x_(21)+u_(22)x_(22)-v_(12)y_(21)-v_(22)y_(22) (5) I_(11) = v_(11)x_(11)+v_(21)x_(12)+u_(11)y_(11)+u_(21)y_(12) (6) I_(12) =...
DC.Subject15
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/ComplexMatrix.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
DC.Relation.IsPartOfhttps://mathworld.wolfram.com/
DC.TypeText
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og:typewebsite
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