Dashboard

Featured nodes

Roots

  • Public root

Templates

  • Test template
  • iCorps template
  • Guanyu's Latex template
  • Ivar's latex template
  • Family Tree template
  • Latex template
  • Router template

Trees

  • Public trees
Related nodes

Parents1

  • Multiplication

Siblings14
  • Sort by title
  • Sort by date

  • 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
KnowenBeta
#
  • Explore
  • Sign in
  1. Matrix multiplication can be viewed as the dot product of a row vector of column vectors with a column vector of row vectors

Navigate

Jump to a node in this tree, or explore your trees and public knowledge.

Quick Navigation

Jump to a node or explore another tree.

  • Current tree nodes
  • Public trees
276–300 of 715 nodes
  • Definition of row equivalent matrices#23479
  • Definition of row operations on a matrix#23475
  • Definition of row reduce a matrix#23545
  • Definition of row space of a matrix#23880
  • Definition of scalar#23778
  • Definition of scalar multiple of a linear transformation#24017
  • Definition of Schur triangulation#23633
  • Definition of similarity transform#23637
  • Definition of similar matrices#23635
  • Definition of singular matrix (not nonsingular)#23643
  • Definition of singular value decomposition (SVD)#23623
  • Definition of size of a matrix#23451
  • Definition of size of a vector#23782
  • Definition of skew-symmetric matrix#23579
  • Definition of solution set of a system of linear equations#23418
  • Definition of solution to a linear equation#23415
  • Definition of solution to a system of linear equations#23417
  • Definition of solution vector of a linear system#23758
  • Definition of spanning/generating set for a space or subspace#23978
  • Definition of span of a set of vectors#23805
  • Definition of square matrix#23454
  • Definition of subspace#23812
  • Definition of subspace spanned by a set of a set of vectors#23813
  • Definition of sum of linear transformations#24015
  • Definition of sum of matrices#23462
« First ← Previous ... 8 9 10 11 12 13 14 15 16 ... Next → Last »
1–24 of 24 public trees
  • CTSI Resources#23365
  • Finance#616
  • How Long Do The Baked Potatoes Take on the Grill#23374
  • Knowen blog#943
  • Lecture Notes#272
  • Lecture notes test#23095
  • Math#23168
  • Media Coverage#953
  • Misc#929
  • my test article#24378
  • Paid Search#24168
  • Personal Knowledgebases#1202
  • Philosophy#25227
  • Physics#18
  • Products of Knowen#22833
  • Recyling Bin#23013
  • Resources for Mathematics#481
  • Security and Strategic Studies#23169
  • TECHNOLOGY and MARKETS#24392
  • Test#22965
  • Testing#23012
  • test jhjhk#26989
  • User Suggestions and Comments#24157
  • Workshops#1170

Knowen© 2026 KTree Inc.

ExplorePricingIntegrationsContact usLeave feedback