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  • Operations on matrices

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  • Addition
  • Conjugation
  • Scalar multiplication
  • Row operations
  • Matrix-vector products
  • Multiplication
  • Transpose and adjoint
  • Inverse

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  • Definition of conjugate of a matrix
  • Matrix conjugation is an involution.
  • The conjugate of the sum of matrices is the sum of the conjugates.
  • The conjugate of a matrix-scalar product is the product of the conjugates.
  • The conjugate of a product of matrices is the product of the conjugates.
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  1. Conjugation

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  • Definition of conjugate of a matrixClose match
  • Matrix conjugation is an involution.Close match
  • The conjugate of a product of matrices is the product of the conjugates.Close match
  • The conjugate of the sum of matrices is the sum of the conjugates.Close match
  • The conjugate of a matrix-scalar product is the product of the conjugates.Close match
  • The conjugate of the transpose is the transpose of the conjugate.Close match
  • Transpose and adjointClose match
  • The adjoint of a matrix-scalar product is the product of the adjoint and the conjugate.Close match
  • Definition of transpose of a matrixClose match
  • Operations on matricesClose match
  • Definition of adjoint (conjugate transpose)Close match
  • Hermitian matricesClose match
  • Definition of conjugate of a vector in C^nClose match
  • AdditionClose match
  • MultiplicationClose match
  • Matrix-vector productsClose match
  • InverseClose match
  • Normal matricesClose match
  • Definition of normal matrixClose match
  • Basic terminology and notationClose match

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