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  • Scalar multiplication

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  • Definition of matrix-scalar multiplication
  • Matrix-scalar multiplication is commutative
  • Scalar multiplication of matrices is associative and distributive
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  1. Scalar multiplication of matrices is associative and distributive

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  • Scalar multiplicationClose match
  • Matrix-scalar multiplication is commutativeClose match
  • Definition of matrix-scalar multiplicationClose match
  • Matrix multiplication is distributive over matrix addition.Close match
  • Matrix multiplication is associative.Close match
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  • Matrix multiplication can be viewed as the dot product of a row vector of column vectors with a column vector of row vectorsClose match
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  • The conjugate of a matrix-scalar product is the product of the conjugates.Close match
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  • Matrix multiplication is not commutative in general.Close match
  • Example of multiplying 3x3 matricesClose match
  • Definition of scalarClose match
  • Definition of vector-scalar multiplicationClose match
  • Definition of matrix multiplication in terms of column vectorsClose match
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  • Multiplying a row by a scalar multiplies the determinant by that scalar.Close match
  • Operations on matricesClose match
  • Example of multiplying 2x2 matricesClose match

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