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  • Multiplication

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  • Definition of matrix multiplication in terms of column vectors
  • Definition of matrix multiplication
  • Theorem describing matrix multiplication
  • Any matrix times the 0 matrix equals the 0 matrix.
  • Example of multiplying 2x2 matrices
  • Example of multiplying 3x3 matrices
  • Example of multiplying nonsquare matrices
  • Example of multiplying matrices
  • Matrix multiplication is associative.
  • Matrix multiplication is distributive over matrix addition.
  • The identity matrix is the identity for matrix multiplication.
  • Matrix multiplication is not commutative in general.
  • For matrices
  • Matrix multiplication can be viewed as the dot product of a row vector of column vectors with a column vector of row vectors
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  1. Matrix multiplication can be viewed as the dot product of a row vector of column vectors with a column vector of row vectors

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301–325 of 715 nodes
  • Definition of sum of subspaces#23968
  • Definition of symmetric matrix#23572
  • Definition of system of linear equations#23416
  • Definition of the 0/trivial subspace#23814
  • Definition of the determinant in terms of the effect of elementary row operations#23726
  • Definition of the imaginary part of a vector in C^n#23790
  • Definition of the least-squares linear fit to 2-dimensional data#23951
  • Definition of the (main) diagonal of a matrix#23455
  • Definition of the real part of a vector in C^n#23789
  • Definition of the standard basis of the m by n matrices#23834
  • Definition of the standard basis of the polynomials of degree at most n#23833
  • Definition of the standard matrix for a linear transformation#23857
  • Definition of the standard/natural basis of R^n (or C^n)#23830
  • Definition of trace of a matrix#23715
  • Definition of transpose of a matrix#23503
  • Definition of trivial linear dependence relation on a set of vectors#23817
  • Definition of trivial solution to a homogeneous linear system of equations#23436
  • Definition of unitary matrix#23588
  • Definition of unit matrix#23554
  • Definition of unit vector#23909
  • Definition of Vandermonde matrix#23594
  • Definition of vector#23779
  • Definition of vector addition#23955
  • Definition of vector-scalar multiplication#23792
  • Definition of vector sum/addition#23786
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  • Aspen Summer 2016 - Entanglement Matters#1213
  • Math#23168

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