Linear and Abstract Algebra Forum

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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.
Graduate Is this matrix exponentiation method correct?
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MHB Group Isomorphism: Proving G Is an Odd, Ablian Group
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MHB Difference Between Lines and Vectors (Linear Combination Problem)
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High School Discover the Algebraic Rule for Equivalent Expressions: A/as + 1 = 1/s + 1/a
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MHB Polynomial that includes complex numbers
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MHB What Are the Subgroups of Z_n When n Is Even?
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MHB Answer: Image Direct Sum & Linear Operator: Is Union Equal?
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Graduate How do you solve a system of equations with 4 variables and 4 equations?
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Graduate Why f(x) = x^n - r e^{i \theta}? Seeking Analytic Explanation
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MHB Set of eigenvectors is linearly independent
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Graduate Number Theory: Why always elementary proofs?
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Graduate How Does the Adjoint Map Function in Lie Theory?
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MHB 3 Algebra problems that I with.
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MHB Introduction to Tensor Products - some advice please
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MHB Algorithm for finding all the borders of R in all dimensions?
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Undergrad How Do You Sketch Re(iz) = 3 in Complex Number Plane?
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MHB Simple problem concerning R[x], R and a prime ideal I
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Graduate New irrational number to develop transcendental operators
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MHB Show that the matrix D is invertible
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Graduate Optimizing Vector Magnitude through 180-Degree Rotations
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MHB Localization - D&F Proposition 38., part (2)
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MHB Group of polynomials with coefficients from Z_10.
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MHB Solving a Matrix Equation: Choosing the Right Answer
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MHB Determine Sub-Vector Spaces of W & V
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Graduate Newton's expansion for non-commutative quantities
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Undergrad Vector Formula with multiple Equal signs?
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MHB Which of the Following is Incorrect Regarding Matrices and Vectors?
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Graduate Approximate diagonalisation of (3,3) hermitian matrix
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MHB Localization - Bijections between prime ideals of R and D^-1R
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MHB Finding a positive definite matrix to satisfy the general equation of an ellipse
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Graduate Fully reducible rep-invariant subspace
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MHB Positive, definite matrix symmetric
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Undergrad Understanding Solutions and Singular Matrices
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Graduate Pythagorean theorem based on cross product.
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MHB Free and Finitely Generated Modules
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Graduate Inner products and the dual space
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MHB Collection of Subspaces of a Vector Space
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MHB Rico Suave's question at Yahoo Answers regarding using the Gauss-Jordan method
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Graduate Infinity and one norm question
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Undergrad Understanding Linear Combinations of Vectors
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Graduate How Does Matrix Exponentiation Retrieve Rotation Matrices?
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Undergrad When y is negative in linear regression?
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Undergrad Algorithm for Generating Percentage Amounts
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Graduate Understanding the Com of a Matrix: Properties and Applications
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MHB Quick problem: given the slope and a point, find the line
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MHB Describe Geometrically (line, plane, or all of R3) all linear combinations of:
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MHB R-modules and Homomorphism of Rings
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MHB Localization - Dummit and Foote, EXAMPLE 2, Ch. 15, Section 15.4, page 708
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Undergrad How can you manipulate a vector to create different matrices?
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Graduate Rotation Equations for 2 Angles: Combining Relationships for Easy Calculation
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Graduate Anthropomorphic Dummy Movements in 3D Space
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Graduate Transforming a spatial average into a spectral average
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Undergrad Consistency of A System of Linear Equations
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MHB Localization in Commutative Ring Theory
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Graduate Scalar, vector and tensor calculus
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MHB If a row is added to any matrix is it still the same matrix?
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MHB Find Unit Vector Orthogonal to Vector
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Graduate Counterexample to Isomorphic Subfields: Help Needed
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Graduate What is the significance of the basis vector e_{11} in a bivector?
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Graduate How can I find a x such that the order of 2 mod x is n?
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Graduate Eigenvalues of two matrices are equal
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Graduate Covariant and Contravariant Coordinate
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MHB Find Vectors $\vec{v_1}$, $\vec{v_2}$, $\vec{v_3}$ Given Dot Products
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Graduate Changing bases (with bra-ket notation)
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Graduate How Does Tikhonov Regularization Handle Underflows in IEEE Double Precision?
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MHB Linear Function on a Vector Space
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MHB Self Adjoint and Unitary Transformations
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Graduate Why Is U(n) Considered Connected When O(n) Is Not?
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MHB Why Is There No Division for Vectors?
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MHB Linear Map Input: Solving P'(1-x) | \pi\rangle
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High School Cross product between unit vectos
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Graduate Finding the Intersection of a Line and Plane
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Undergrad Why no general solution to quintic equations?
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MHB Extend to an orthonormal basis for R^3
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Graduate Rotational in terms of vector calculus
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MHB What Is the Relationship Between Radicals and Prime Ideals?
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Undergrad Curl and divergence of units vectos
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MHB What Are Linear Transformations and How Do They Work?
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MHB How can I show that K is positive-definite?
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MHB Cauchy-Schwarz inequality for pre-inner product
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MHB Jordan Normal Form of a Linear Transformation
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Graduate Understanding Matrix Calculus: Laplacian, Hessian, and Jacobian Explained
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MHB Basis, dimension and vector spaces
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MHB Non-Singular Bilinear Function
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MHB Is the Space of Real Polynomials of Degree ≤ n a Euclidean Space?
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MHB Is the Lower Triangular Matrix in the Cholesky Decomposition Unique?
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Graduate Vector components and its coordinate description in a given basis
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MHB Ideals of a Residue Class Ring- Ring Isomorphism
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Graduate Question about normal subgroups/Lattice Isomorphism Theorem
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Graduate Irreducible representation. I'm confused.
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Graduate Quick question in linear algebra review for quantum mechanics
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Graduate Proving the special property of diagonal matrix?
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Undergrad What does Z_2^5 mean in linear algebra notation?
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Graduate Consequence of the First isomorphism theorem
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Graduate Does Cayley's Theorem imply all groups are countable?
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Graduate Commutator of exponential operators
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Undergrad What is the Relationship Between Position and Velocity Vectors?
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Graduate Understanding the abstract notion of an vector space
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Graduate Is Levy-Desplanques Theorem limited to specific values of i and M?
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Undergrad Solving Linear Systems (Basic Question)
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