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Linear-algebra
New post in Linear-algebra
If $x+y+z=5$ and $xy+yz+zx=3$,then least and largest value of $x$ are?
December 5th, 2022
linear-algebra
Product of two symmetric matrices is similar to a symmetric matrix
December 4th, 2022
linear-algebra
symmetric-matrices
matrices
How to pare down a set to form a basis?
July 23rd, 2022
linear-algebra
How to prove that a homogeneous system of linear equations with more unknowns than equations has infinitely many solutions?
November 27th, 2022
linear-algebra
Find the shortest distance from the point P = (2,2,5)
August 15th, 2022
linear-algebra
Let A and B be n by n matrices . Prove that if A is symmetric and B be skew-symmetric , then {A,B} is a linearly independent set.
November 20th, 2022
linear-algebra
matrices
Finding the image of an arbitrary vector.
August 15th, 2022
linear-algebra
Calculate eigenvalues and eigenvector for given 4x4 matrix?
July 23rd, 2022
linear-algebra
# of invertible $n \times n$ matrices with entries in field $k$ with $q$ elements?
August 14th, 2022
abstract-algebra
linear-algebra
matrices
Determinants with arithmetic progressions as columns
October 18th, 2022
linear-algebra
matrices
determinant
Conditions of $AB=0$ where $A$ and $B$ are matrices of compatible dimensions
August 14th, 2022
matrices
linear-algebra
How to find the general solution to this matrix?
September 30th, 2022
gaussian-elimination
linear-algebra
matrices
Determine whether the system $A\mathbb x=\mathbb b$ is consistent by examing how $\mathbb b$ relates to the column vectors of $A$.
July 22nd, 2022
linear-algebra
matrices
What is the proof that det(A) = det(A transpose)?
September 29th, 2022
linear-algebra
Non standard vector addition
September 29th, 2022
linear-algebra
arithmetic
Need help with linear transformations (with projection and reflection)?
July 22nd, 2022
eigenvalues-eigenvectors
vectors
reflection
linear-algebra
transformation
how to find the geometric multiplicity - Linear algebra
August 8th, 2022
linear-algebra
How to show that if $A, B$, and $A + B$ are invertible matrices with the same size, then $A(A^{ −1} + B^{ −1} )B(A + B)^ {−1} = I$
August 27th, 2022
linear-algebra
matrices
Determinant of Gram matrix - without knowing it's a Gram matrix or using anything "fancy"
July 29th, 2022
linear-algebra
abstract-algebra
What's the proof that sum of all projection operators for orthonormal basis gives us identity operator?
September 16th, 2020
linear-algebra
quantum-mechanics
What are the Eigenstates and Eigenvalues?
June 11th, 2020
hilbert-space
operators
quantum-mechanics
eigenvalue
linear-algebra
When writing this Lorentz transform as a matrix why do we take the transpose?
March 4th, 2020
linear-algebra
notation
metric-tensor
special-relativity
Many Body Physics: Hamiltonian block structure and Symmetries
August 11th, 2022
many-body
quantum-mechanics
solid-state-physics
symmetry
linear-algebra
The definition of transpose of Lorentz transformation (as a mixed tensor)
August 1st, 2022
covariance
conventions
linear-algebra
tensor-calculus
special-relativity
How does a linear operator act on a bra?
August 1st, 2022
quantum-mechanics
linear-algebra
notation
operators
hilbert-space
Critique on tensor notation
August 1st, 2022
linear-algebra
general-relativity
tensor-calculus
notation
covariance
The formal way to simultaneously diagonalise two Hermitian operators that Commute?
August 1st, 2022
operators
hilbert-space
linear-algebra
Why can vector components not be resolved by Laws of Vector Addition?
March 24th, 2020
vectors
coordinate-systems
linear-algebra
Infinite dimensional vector spaces vs. the dual space
December 19th, 2020
vectors
linear-algebra
quantum-mechanics
hilbert-space
mathematical-physics
Finding the matrix representation of a superoperator
August 1st, 2022
operators
linear-algebra
density-operator
quantum-mechanics
quantum-information
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