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.
Threads
Graduate How do you take the logarithm of a 2x2 matrix with non-zero entries?
- jhendren
- · Replies 2 ·
High School How Do You Find the Inner Product of Vectors in Polar Coordinates?
- spaderdabomb
- · Replies 2 ·
Undergrad How Do You Find the Equation of a Plane Given a Point and a Perpendicular Line?
- salistoun
- · Replies 2 ·
Undergrad Matrix corresponding to linear transformation is invertible iff it is onto?
- Aziza
- · Replies 1 ·
Graduate Proving the Group Properties of M, the Set of Nth Roots of Unity
- ustus
- · Replies 2 ·
Finding the Inverse of Symmetric Matrices with Non-Real Coefficients
- OhMyMarkov
- · Replies 2 ·
Graduate Understanding Vector Spaces: Properties and Applications
- member 392791
- · Replies 6 ·
Graduate Is it possible to define a basis for the space of continuous functions?
- Boorglar
- · Replies 7 ·
Graduate Transforming a matrix to orthogonal one
- onako
- · Replies 4 ·
Graduate Identity in Subcategory C': Does it Coincide with Identity in Category C?
- SVD
- · Replies 1 ·
Undergrad Kernel and Range: Understanding Linear Transformation in Algebra
- matqkks
- · Replies 2 ·
Why study the kernel and range of linear transformations
- matqkks
- · Replies 1 ·
Undergrad Simple Proof for A-H Array Puzzle
- ramsey2879
- · Replies 3 ·
Undergrad Can you prove the formula for projection of a vector using dot products?
- Bipolarity
- · Replies 1 ·
Graduate Proving a relation between cross and dot products
- Bipolarity
- · Replies 1 ·
Graduate Consecutive integers divisible by a set of Primes
- axelmorack
- · Replies 4 ·
Undergrad Why do we use double pipes to represent the norm of a vector?
- Ashiataka
- · Replies 6 ·
Graduate Mapping Conditions in Transformational Space
- CluelessEngg
- · Replies 1 ·
Undergrad Proving that planes are parallel
- Bipolarity
- · Replies 7 ·
If G is the union of 3 of its subgroups, show that they each have index 2
- oblixps
- · Replies 4 ·
Is Goldbach's Conjecture Finally Solved?
- DeadOriginal
- · Replies 3 ·
Graduate Question on a proof by induction
- mnb96
- · Replies 2 ·
Graduate Can You Find the Unique Solution to These Simultaneous Equations?
- FeDeX_LaTeX
- · Replies 2 ·
Undergrad Vector cross product with coefficients
- Stickybees
- · Replies 2 ·
Graduate Matrices Formula for 10 by 10 Matrices
- BionicBiceps
- · Replies 10 ·
Graduate Where do the vector space axioms come from?
- JamesGold
- · Replies 5 ·
Undergrad What is the significance of the field Z₂ in mathematics?
- Max.Planck
- · Replies 2 ·
Undergrad Is there such a matrix operation
- Wolfgang2b
- · Replies 2 ·
Graduate Question on conjugate closure of subgroups
- mnb96
- · Replies 2 ·
High School Simple Proof That Division By Zero Is Impossible
- Poolala
- · Replies 6 ·
Undergrad Evaluate this algebraic expression f(a,b)
- epsi00
- · Replies 3 ·
Undergrad What Is the Solution Space for Ax=b in Linear Algebra?
- dumbQuestion
- · Replies 2 ·
Undergrad What is the importance of linear transformations in linear algebra?
- matqkks
- · Replies 4 ·
Graduate Is the sum of (m!/n!)^a countably or uncountably infinite?
- Eval
- · Replies 9 ·
Undergrad Understanding basis and dimension
- dumbQuestion
- · Replies 5 ·
Graduate Using Zelator's theorem to prove x³ + y³ = z³ has no integer solutions
- epsi00
- · Replies 1 ·
Undergrad Quick check of 4 term polynomial factorised
- Taylor_1989
- · Replies 3 ·
Undergrad Why is n² congruent to 0, 1, 2, or 4 mod 7 for any integer n?
- bonfire09
- · Replies 17 ·
Graduate Diagonolizing 5x5 Matrix by Hand
- xWaffle
- · Replies 12 ·
Undergrad Checking if scalar multiplication axioms hold for different scalars and vectors
- ryan8642
- · Replies 2 ·
Using linear systems to solve problems (1)
- bkan21
- · Replies 2 ·
Why introduce linear transformations before matrices
- matqkks
- · Replies 2 ·
Undergrad Does zero vector only exist in dim 0?
- pob1212
- · Replies 2 ·
Undergrad Finding if an integer is odd through Riemann or some function?
- caljuice
- · Replies 13 ·
Undergrad How Do You Solve This Linear System and Identify Free and Basic Variables?
- amcgl064
- · Replies 1 ·
Determining Basic and Free Variables in a Linear System
- amcgl064
- · Replies 1 ·
Undergrad Diagonalizing a Matrix: Implications of Double Eigenvalues
- icetea555
- · Replies 4 ·
Undergrad Unsure Which Method To Solve Linear System Was Used
- Illuminerdi
- · Replies 7 ·
Graduate Is it possible to linearize the non-linear equation in this linear programming?
- jack1234
- · Replies 1 ·
Undergrad Does a set need to be a subset to be a subspace?
- Max.Planck
- · Replies 3 ·
Graduate Solution of polynomial equations
- tom.stoer
- · Replies 5 ·
Graduate When Is L(S ∩ T) Not Equal to L(S) ∩ L(T)?
- TrapMuzik
- · Replies 1 ·
Undergrad Why do linear systems have zero, one, or infinite solutions?
- fisico30
- · Replies 7 ·
Undergrad What does badly scaled and nearly singular mean for a matrix?
- sunny110
- · Replies 14 ·
Graduate Find point coordinate on 3D circle knowing three points
- alaam2005
- · Replies 6 ·
Using linear systems to solve problems (4)
- bkan21
- · Replies 1 ·
Graduate Homogeneous Eqn of Line given 2 homogeneous pointspoints
- LouArnold
- · Replies 5 ·
Using linear systems to solve problems (3)
- bkan21
- · Replies 1 ·
Using linear systems to solve problems (5)
- bkan21
- · Replies 1 ·
Graduate Proving that the product of two full-rank matrices is full-rank
- leden
- · Replies 6 ·
High School Is there a largest prime number and does it disprove Goldbach's conjecture?
- Ferraridude
- · Replies 6 ·
High School Why does (Earth's speed + orbital seconds) / speed of light equal Earth's speed?
- JackWilkinson
- · Replies 5 ·
Undergrad Proof- Vector fields form vector space
- deanachuz
- · Replies 2 ·
Graduate Are There Only 3 Nontrivial Subgroups of Zp x Zp?
- carrie.lugo
- · Replies 2 ·
Graduate How Do the Riemann Zeta and Dirichlet Eta Functions Interact?
- arivero
- · Replies 3 ·
Graduate Does v = u + w hold for all u in U when V = U ⊕ W?
- omoplata
- · Replies 2 ·
Graduate Rotation from axis to axis in 4 dimensions
- Matt Benesi
- · Replies 2 ·
Undergrad Error in Leon's database search example dimensions
- schaefera
- · Replies 4 ·
Undergrad Why is QR factorization useful and important?
- matqkks
- · Replies 1 ·
Graduate What is the Mathematical Definition of the Pauli Vector?
- Grufey
- · Replies 4 ·
Why is QR factorization useful and important?
- matqkks
- · Replies 1 ·
Maximal Ideal of Z[sqrt(-19)]: Showing Why (2, 1+sqrt(-19)) Works
- Jooolz
- · Replies 4 ·
Graduate Decompose matrix into outer product of vectors
- Pacopag
- · Replies 6 ·
Graduate Is 11 a Prime in the Non-UFD Ring Z[sqrt{-5}]?
- bessletama
- · Replies 2 ·
Undergrad Is it worse an over or an under determined system of linear equations?
- fisico30
- · Replies 15 ·
Undergrad Need help understanding Linear algebra proofs (and linear algebra in general)
- Sysman
- · Replies 10 ·
Graduate Showing that the normalized eigenvector for a distinct eigenvalue is unique
- randomafk
- · Replies 4 ·
Undergrad Why is the dot product of two vectors A·B = ABcosθ?
- cytochrome
- · Replies 12 ·
Undergrad Why Does Solving Matrices Lead to Incorrect Variable Identification?
- Taylor_1989
- · Replies 2 ·
How Do You Calculate the Determinant of a Matrix in Linear Algebra?
- Chipset3600
- · Replies 3 ·
Graduate Is the ABC Conjecture Solved? New Proof Claims Deep Connection to Prime Numbers
- Dragonfall
- · Replies 2 ·
Undergrad Question regarding cross products and determinants
- Salamon
- · Replies 2 ·
Graduate Why does A*I*inverse(A) create a projection matrix?
- pamparana
- · Replies 1 ·
Graduate Transforming between square matrices of different order
- Mårten
- · Replies 4 ·
Graduate What is the mysterious identity that holds for primes and certain composites?
- ramsey2879
- · Replies 11 ·
Graduate Is h(n) - f(n) in o(g(n)) Given f(n) in o(g(n)) and g(n) in O(H(n))?
- ammoun
- · Replies 3 ·
Undergrad Which Mathematicians Pioneered Prime Numbers for Cryptography?
- phospho
- · Replies 2 ·
Graduate Determinant of Transpose Operator
- sponsoredwalk
- · Replies 9 ·
Why find angles and distances between polynomials in inner product spaces
- matqkks
- · Replies 1 ·
Graduate Is Pi divided by E rational, and what other irrational numbers exist?
- Jedi_Sawyer
- · Replies 15 ·
Graduate Inner product of polynomials
- matqkks
- · Replies 1 ·
Can You Solve These Advanced Determinant Problems Involving Matrices?
- Yankel
- · Replies 5 ·
Undergrad Why must graphs in sums have only loops and no knots?
- LagrangeEuler
- · Replies 1 ·
Undergrad What model best fits this data and why?
- spacecadeta
- · Replies 4 ·
Does a'a = 1 if aa' = 1 and a' is unique?
- Fantini
- · Replies 4 ·
Undergrad Proving Linear Manipulation to Reduce to GCD of Two Numbers
- Avichal
- · Replies 6 ·
Undergrad Formula for sequence 1,2,1,2,3,4,1,2,3,4,5,6,
- spiritzavior
- · Replies 10 ·
Undergrad Infinite solutions to homogeneous system?
- hivesaeed4
- · Replies 2 ·
Graduate Basis of a subspace and dimension question
- clurt
- · Replies 1 ·
Graduate Infinitely Presented, Finitely Generated Group
- markiv
- · Replies 1 ·