Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
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Graduate Wronskian and linear independence
- dumbQuestion
- · Replies 4 ·
Graduate Complex Powers of an Elliptic Operator
- unchained1978
- · Replies 3 ·
Undergrad Solving: Vector Subspaces Question in R3
- markovchain
- · Replies 1 ·
Graduate Why is the special orthogonal group considered the rotation group?
- tensor33
- · Replies 4 ·
Graduate Is There a Quadratic Equation for Polynomials in Z_n?
- lol_nl
- · Replies 1 ·
Graduate What is a Quasi Upper Triangular Matrix?
- jezza10181
- · Replies 2 ·
Introducing Inner Product Spaces: Real-World Examples
- matqkks
- · Replies 1 ·
Graduate Introducing Inner Product Spaces: Real Impact Examples
- matqkks
- · Replies 3 ·
The Significance of Row Space in a Matrix
- matqkks
- · Replies 3 ·
Undergrad Can a vector be a linear combination of itself?
- Klungo
- · Replies 10 ·
Graduate Largest gap between numbers coprime to the first N primes
- ppnl
- · Replies 13 ·
Graduate How to Find c in a Complex Logarithmic Equation?
- Wiz14
- · Replies 1 ·
Graduate Conjecture regarding perfect numbers.
- MathematicalPhysicist
- · Replies 10 ·
Graduate Question regarding imaginary numbers and euler's formula
- elvishatcher
- · Replies 9 ·
Graduate Do reflections in D4 require the third dimension or can they happen in the plane?
- srfriggen
- · Replies 1 ·
Undergrad Understanding Matrix Row Spaces: Why It Matters
- matqkks
- · Replies 2 ·
Graduate One-parameter group of transformations
- -Alexander-
- · Replies 1 ·
Graduate Eigenvectors of a symmetric matrix.
- chocolatefrog
- · Replies 1 ·
Undergrad Are Non-Singular Column Vectors of X Linearly Independent?
- IniquiTrance
- · Replies 5 ·
Graduate What Is the Mathematical Depth Behind Ramanujan's Integral Identity?
- GoutamTmv
- · Replies 2 ·
Graduate Question on conditions for commutativity of subgroups
- mnb96
- · Replies 2 ·
Undergrad EASY QUESTION solving system of linear inequalities
- fleazo
- · Replies 1 ·
Undergrad Are A, B, and A+B Always Coplanar?
- 1MileCrash
- · Replies 3 ·
Graduate Can Commutation between Subgroups be Achieved without Assuming Normality?
- mnb96
- · Replies 2 ·
Undergrad Solving the Clever Compound Cartoon Puzzle
- tgm1024
- · Replies 3 ·
Finding when a system has infinite, no, or single solutions for different k values
- Yankel
- · Replies 5 ·
Graduate Any useful analog to finite differences for matrix products?
- Stephen Tashi
- · Replies 5 ·
Graduate Hamel vs Schauder bases in infinite dimensional spaces
- Rasalhague
- · Replies 13 ·
Graduate Kronecker product of infinite dimensional matrices
- yphink
- · Replies 4 ·
Graduate Homomorphism as a Structure-preserving Map.
- V0ODO0CH1LD
- · Replies 22 ·
Graduate Converting Rotation matrix to operate on fractional coordinates
- rheugle
- · Replies 4 ·
Undergrad What is the Rank of the Adjugate Matrix?
- quackdesk
- · Replies 1 ·
Graduate Can a Non-Linear Map be the Inverse of a Linear Map?
- PiAreSquared
- · Replies 8 ·
High School What Is an Efficient Way to Identify Composite Numbers?
- Iccanui
- · Replies 6 ·
Graduate For which primes P is the following true?
- Wiz14
- · Replies 9 ·
Undergrad How to count faces in a planar graph
- kljoki
- · Replies 2 ·
Undergrad Possible Triplets for (1+1/a)(1+1/b)(1+1/c)=3
- rattanjot
- · Replies 5 ·
Solving a Coal Blending Problem with LP
- Wilmer
- · Replies 10 ·
Is $f$ a function or a functional?
- OhMyMarkov
- · Replies 3 ·
Undergrad Question on Fermat's Last Theorem
- Wiz14
- · Replies 4 ·
Graduate Understanding Group Structures: A Scientist's Perspective
- modnarandom
- · Replies 7 ·
Undergrad Can someone explain zeros and zeta function for Riemann Hypothesis? (Yr13)
- 2710
- · Replies 19 ·
Graduate Isomorphism of P4 and R5 in a given inner product space
- freddyfish
- · Replies 3 ·
Undergrad How Does Google Work? Get Answers Here
- prane
- · Replies 1 ·
Graduate How does the author determine the elements of order p or 4 in the group?
- moont14263
- · Replies 2 ·
Undergrad Why can I factor double summations as a product of single summations?
- IniquiTrance
- · Replies 2 ·
High School What is the difference between zero scalar and zero vector?
- dexterdev
- · Replies 3 ·
Graduate Are eigenvalues of Hermitian operators always real?
- dEdt
- · Replies 2 ·
Graduate Abelian groups and exponent of a group
- moont14263
- · Replies 3 ·
Graduate If a, b, c are coprime, is (a^n + b^n + c^n) / abc always a fraction?
- mahmudarif
- · Replies 2 ·
Undergrad How do I solve a transcendental equation?
- shourie.j
- · Replies 2 ·
Graduate Question on definition of Lie groups
- mnb96
- · Replies 4 ·
Graduate Why does {0, 2} + {1, 3} = {1, 3} in Z4/{0, 2}?
- Diffy
- · Replies 7 ·
Undergrad Are there any real life applications of the rank of a matrix? It need
- matqkks
- · Replies 3 ·
Real-life applications of matrix rank
- matqkks
- · Replies 1 ·
Undergrad How Does a Minimal Polynomial Differ from a Characteristic Polynomial?
- dexterdev
- · Replies 2 ·
High School Solving for Data: Formula with OUTPUT Provided
- vladtess
- · Replies 3 ·
Graduate Prove the identity for odd primes using alternating binomials
- mahmudarif
- · Replies 5 ·
Undergrad Can you do the Cross Product Backwards?
- BigCheese234
- · Replies 5 ·
High School Algebra - Associativity and Commutativity
- Luke101
- · Replies 11 ·
Undergrad Where did this equation come from?
- your
- · Replies 1 ·
Graduate Number theory divisibility question
- Idiotinabox
- · Replies 2 ·
Graduate Does every linear functional arise from an inner product?
- dEdt
- · Replies 3 ·
Undergrad Why Use A and B in Partial Fraction Decomposition?
- Taylor_1989
- · Replies 2 ·
Undergrad More than one identity element for absolute value?
- physicsforum7
- · Replies 8 ·
Undergrad What is eigen value, eigen vector etc and what is their physical significance?
- dexterdev
- · Replies 8 ·
Undergrad Determinants of matrices greater than 3x3
- smize
- · Replies 6 ·
Undergrad Why Does Cramer's Rule Give Different Determinants for the Same Matrix?
- epsilonOri
- · Replies 3 ·
Graduate Interpretation of the determinant of an operator in complex vector space
- dEdt
- · Replies 6 ·
Graduate Matrix Derivation: 2x1 A and B with Dimension and dA/dB Calculation
- tommyhakinen
- · Replies 5 ·
Undergrad What are some real-life applications of general vector spaces?
- matqkks
- · Replies 2 ·
Graduate Find Eigenvalues/Determinant of Infinite Matrix
- cragar
- · Replies 3 ·
Graduate Direction of Goldbach Partitions
- Paul Mackenzie
- · Replies 2 ·
Undergrad What is the determinant of a matrix?
- KingKai
- · Replies 11 ·
Graduate Understanding Vector Spaces in Real Analysis
- gilabert1985
- · Replies 5 ·
Finding contravariant components from covariant vector field
- andrey21
- · Replies 4 ·
Undergrad Finding all combination of portions of a number.
- lucasfeijo
- · Replies 4 ·
Undergrad Does T: W → W imply anything about injectivity or surjectivity?
- Fractal20
- · Replies 4 ·
Undergrad Which Mathematician's Theorem Linked Prime Numbers to Cryptography?
- synkk
- · Replies 4 ·
Showing that Q(sqrt(p)) is in Q adjoined the pth root of unity
- oblixps
- · Replies 1 ·
"structure" on the cosets → normal?
- Swlabr1
- · Replies 2 ·
Graduate How to find 'self locating digits' in irrational numbers
- prane
- · Replies 3 ·
Graduate Must the Fourier transform exist for Dirac delta functions?
- friend
- · Replies 6 ·
Show that the abelian groups are isomorphic
- buckylomax
- · Replies 1 ·
High School Is algebra necessary for everyone?
- zoobyshoe
- · Replies 105 ·
High School What are the applications of permutations of a finite set?
- dwn5000
- · Replies 3 ·
Generating a linear equation from the given expression
- nicodemus1
- · Replies 5 ·
Linear algebra. Rank. linear independence.
- caffeinemachine
- · Replies 1 ·
Graduate Conjecture Regarding rotation of a set by a sequence of rational angles.
- mehr1methanol
- · Replies 2 ·
Graduate Why don't polynomials with rational coefficients form a vector space over the reals?
- marellasunny
- · Replies 4 ·
Undergrad Linear transformation and matrix transformation
- Ali Asadullah
- · Replies 5 ·
Graduate Looking for Properties of Low Discrepancy Sequences.
- mehr1methanol
- · Replies 3 ·
Graduate 4th and higher dimension perpendicular
- Lord_Sidious
- · Replies 5 ·
Undergrad Finding Inverse from Known Linear System
- Blue2Sky
- · Replies 4 ·
Graduate Proving n linearly independent eigenvectors for a tridiagonal diffusion matrix
- Jonnyb302
- · Replies 3 ·
Graduate Is Q-P Symmetric Positive-Definite?
- arunakkin
- · Replies 3 ·
Introducing General Vector Spaces: Engaging Examples and Real-Life Applications
- matqkks
- · Replies 2 ·
Solve *-Algebra Problem: $\sigma(\lambda{e}-x)=\lambda-\sigma(x)$
- Cairo
- · Replies 1 ·
Undergrad Is MMT = I sufficient to test if a matrix is orthogonal?
- tamtam402
- · Replies 4 ·
Graduate Negative determinants when calculating eigenvectors?
- tamtam402
- · Replies 13 ·