knowen.mdknowen.md

Dashboard

Featured nodes

Roots

  • Public root

Templates

  • Guanyu's Latex template
  • Router template

Trees

  • Showcase
Related nodes

Parents1

  • Transpose and adjoint

Siblings11
  • Sort by title
  • Sort by date

  • Definition of transpose of a matrix
  • Matrix transpose is an involution.
  • The conjugate of the transpose is the transpose of the conjugate.
  • Definition of adjoint (conjugate transpose)
  • The adjoint of a sum is the sum of the adjoints.
  • The adjoint of a matrix-scalar product is the product of the adjoint and the conjugate.
  • Matrix adjoint is an involution.
  • The transpose of a sum of matrices is the sum of the transposes.
  • Transpose commutes with scalar multiplication.
  • The transpose of a product of matrices is the product of the transposes in reverse order.
  • The adjoint of a product of matrices is the product of the adjoints in reverse order.
knowen.mdknowen.mdBeta
#
  • Explore
  • Sign in
  • Request an invite
  1. The adjoint of a product of matrices is the product of the adjoints in reverse order.

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
701–718 of 718 nodes
  • Transpose and adjoint#23502
  • Transpose commutes with scalar multiplication.#23511
  • Triangularization requires the characteristic polynomial to split#24076
  • Triangular matrices#23561
  • Two matrices of the same size are equivalent if and only if they have the same rank.#23607
  • Two vectors are dependent iff at least one is a scalar multiple of the other#23826
  • Unitary matrices#23587
  • Unitary matrices are invertible.#23589
  • Unitary matrices have orthogonal (orthonormal) rows/columns.#23590
  • Unitary matrices preserve inner products.#23591
  • Unitary matrices preserve orthogonal (orthonormal) bases.#23592
  • Using matrices to solve linear systems#23760
  • Vector form of solutions to a consistent linear system#23444
  • Vector space isomorphism is an equivalence relation.#24003
  • Vector spaces#23775
  • Vector sum/addition interpreted geometrically in R^n (or C^n)#23797
  • Vector sum/addition is commutative and associative#23787
  • Visualise a linear transformation on R^2 by looking at the image of a region#23852
« First ← Previous ... 25 26 27 28 29
1–4 of 4 public trees
  • Aspen Summer 2016 - Entanglement Matters#1213
  • Container for Linear Algebra#24123
  • Math#23168
  • Test Flight Problem Set#23151

knowen.md© 2026 KTree Inc.

ExploreWhat is knowen.md?PricingIntegrationsContact usLeave feedback