Is there a reference out there that only focus on (different)rank of matrices(with all kind of entries: real, complex, integers) and connects then further to ranks of tensors and further with the ranks multi-linear operators.
Thank you in advance.
2026-02-23 08:03:14.1771833794
Reference request: Book on theory of rank of matrices and multi-linear operators!
38 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REFERENCE-REQUEST
- Best book to study Lie group theory
- Alternative definition for characteristic foliation of a surface
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Random variables in integrals, how to analyze?
- Abstract Algebra Preparation
- Definition of matrix valued smooth function
- CLT for Martingales
- Almost locality of cubic spline interpolation
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- property of Lebesgue measure involving small intervals
Related Questions in MATRIX-RANK
- Bases for column spaces
- relation between rank of power of a singular matrix with the algebraic multiplicity of zero
- How to determine the rank of the following general $\mathbb{R}$-linear transformation.
- How to prove the dimension identity of subspace? i.e. $\dim(V_1) + \dim(V_2) = \dim(V_1 + V_2) + \dim(V_1 \cap V_2)$
- How can I prove that $[T]_B$ is a reversible matrix?
- can I have $\det(A+B)=0$ if $\det(A)=0$ and $\det(B) \neq 0$?
- Let $A$ be a diagonalizable real matrix such as $A^3=A$. Prove that $\mbox{rank}(A) = \mbox{tr}(A^2)$
- Row permuation of a matrix for a non-zero diagonal
- Tensor rank as a first order formula
- Rank of Matrix , Intersection of 3 planes
Related Questions in MULTILINEAR-ALGEBRA
- How to get the missing brick of the proof $A \circ P_\sigma = P_\sigma \circ A$ using permutations?
- How to prove that $f\otimes g: V\otimes W\to X\otimes Y$ is a monomorphism
- Is the natural norm on the exterior algebra submultiplicative?
- A non-zero quantity associated to an invertible skew-symmetric matrix of even order.
- Silly Question about tensor products and universal property
- Why are bilinear maps represented as members of the tensor space $V^*\otimes V^*$ opposed to just members of the tensor space $V\otimes V$?
- universal property of the $n$-fold tensor product
- If $f:(\mathbb{K}^n)^n \rightarrow \mathbb{K}$ is multilinear and alternating, prove: $f(T(u_1),T(u_2),...,T(u_n)=\det(A)f(u_1,...,u_n)$
- Image of Young symmetrizer on tensor product decomposition
- Proof of $Af = \sum_{\sigma \in S_{k}} (Sgn \sigma) \sigma f$ is an alternating function.
Related Questions in TENSOR-RANK
- Tensor rank as a first order formula
- 3+ Dimensional Matrices
- Manipulating tensor products
- Why are the covariant and contravariant components of the metric tensor defined this way?
- For all rank two tensors, is $A:BC = AB^T:C$?
- How to find eigenvalues and eigenvectors of higher-order tensors?
- tensor product, isotropic
- Uniqueness of Tensor Decompositions (Aren't Matrix Decompositions a Special Case?)
- Actual example of tensor contraction
- Could a Rank Two Tensor be a Scalar?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?