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  • Definition of sum of matrices
  • Matrix addition is commutative and associative.
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  1. Matrix addition is commutative and associative.

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  • AdditionClose match
  • Matrix multiplication is distributive over matrix addition.Close match
  • Matrix multiplication is associative.Close match
  • Definition of sum of matricesClose match
  • Matrix multiplication is not commutative in general.Close match
  • Matrix-scalar multiplication is commutativeClose match
  • Scalar multiplication of matrices is associative and distributiveClose match
  • Matrix-vector product is associativeClose match
  • Matrix multiplication can be viewed as the dot product of a row vector of column vectors with a column vector of row vectorsClose match
  • Operations on matricesClose match
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  • The conjugate of the sum of matrices is the sum of the conjugates.Close match
  • Definition of matrix multiplication in terms of column vectorsClose match
  • Any matrix times the 0 matrix equals the 0 matrix.Close match
  • MultiplicationClose match
  • Example of multiplying 2x2 matricesClose match
  • Definition of matrix-scalar multiplicationClose match
  • The transpose of a sum of matrices is the sum of the transposes.Close match
  • Vector sum/addition is commutative and associativeClose match
  • Matrix conjugation is an involution.Close match

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