If given a matrix which is invertible, and knowing the Jordan canonical form is: $$J = \begin{bmatrix} -2 & 0 & 0 & 0\\ 0&5&0&0\\0&0&-8&0\\0&0&0&8\end{bmatrix}$$ How do you go about finding the two dimensional invariant subspaces?
2026-03-27 07:36:37.1774596997
2-dimensional invariant subspace using Jordan matrix
63 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LINEAR-ALGEBRA
- An underdetermined system derived for rotated coordinate system
- How to prove the following equality with matrix norm?
- Alternate basis for a subspace of $\mathcal P_3(\mathbb R)$?
- Why the derivative of $T(\gamma(s))$ is $T$ if this composition is not a linear transformation?
- Why is necessary ask $F$ to be infinite in order to obtain: $ f(v)=0$ for all $ f\in V^* \implies v=0 $
- I don't understand this $\left(\left[T\right]^B_C\right)^{-1}=\left[T^{-1}\right]^C_B$
- Summation in subsets
- $C=AB-BA$. If $CA=AC$, then $C$ is not invertible.
- Basis of span in $R^4$
- Prove if A is regular skew symmetric, I+A is regular (with obstacles)
Related Questions in MATRICES
- How to prove the following equality with matrix norm?
- I don't understand this $\left(\left[T\right]^B_C\right)^{-1}=\left[T^{-1}\right]^C_B$
- Powers of a simple matrix and Catalan numbers
- Gradient of Cost Function To Find Matrix Factorization
- Particular commutator matrix is strictly lower triangular, or at least annihilates last base vector
- Inverse of a triangular-by-block $3 \times 3$ matrix
- Form square matrix out of a non square matrix to calculate determinant
- Extending a linear action to monomials of higher degree
- Eiegenspectrum on subtracting a diagonal matrix
- For a $G$ a finite subgroup of $\mathbb{GL}_2(\mathbb{R})$ of rank $3$, show that $f^2 = \textrm{Id}$ for all $f \in G$
Related Questions in JORDAN-NORMAL-FORM
- Simultaneous diagonalization on more than two matrices
- $ \exists \ g \in \mathcal{L}(E)$ s.t. $g^2 = f \ \iff \forall \ k$, $\dim \ker(f-aId)^k$ is even
- Relation between left and right Jordan forms
- About Matrix function on Jordan normal form
- Generalized Eigenvectors when algebraic multiplicity greater than 1
- Commutativity and Jordan Decomposition
- Jordan forms associated with characteristic polynomials and minimal polynomials
- Jordan's Canonical Form of a Matrix
- $3 \times 3$-matrices with the same characteristic polynomials and minimal polynomials that are not similar
- Jordan form of a matrix confusion
Related Questions in INVARIANCE
- A new type of curvature multivector for surfaces?
- Is a conformal transformation also a general coordinate transformation?
- What does invariant to affine transformations mean?
- Matrix permutation-similarity invariants
- system delay: $x(2t-t_o) \,\,or \,\, x(2t-2t_o)$?
- Diffeomorphism invariance, Lie derivative
- Writing a short but rigorous proof
- Poles and Zeros of a Linear Transform
- Two Player Strategy Game
- Rigorous proof to show that the $15$-Puzzle problem is unsolvable
Related Questions in INVARIANT-SUBSPACE
- Methods in finding invariant subspaces?
- $U$ is invariant under all $T\in\mathcal{L}(V)$
- Question about Invariant Subspaces.
- $T\in\mathcal{L}(V)$ is a scalar multiple of identity operator, where $dim\ V\geq 3$
- Some insight regarding a difficult problem on Linear Operators.
- Find invariant subspace of a shear - Maschke theorem
- Are there other non-trivial invariant subspaces of a linear operator other than the eigenspaces and their combinations?
- What are the $T$-invariant subspaces for the following shift operator $T$.
- Intuition/motivation behind t-cyclic subspaces
- Characterization of a positive finite Borel measure on the circle
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?