Newbetuts
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New posts in diagonalization
$A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
linear-algebra
matrices
eigenvalues-eigenvectors
diagonalization
When is a complex symmetric matrix with only the last row and column being non zero diagonalizable?
linear-algebra
matrices
eigenvalues-eigenvectors
diagonalization
symmetric-matrices
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
linear-algebra
eigenvalues-eigenvectors
diagonalization
Showing when a permutation matrix is diagonizable over $\mathbb R$ and over $\mathbb C$
linear-algebra
matrices
diagonalization
Can we say that the matrix $\begin{bmatrix} A & A \\ 0 & A \end{bmatrix}$ is diagonalizable if and only if $A = 0$?
linear-algebra
matrices
diagonalization
Proving that a symmetric matrix is positive definite iff all eigenvalues are positive
linear-algebra
matrices
eigenvalues-eigenvectors
diagonalization
If $A$ is invertible and $A^n$ is diagonalizable, then $A$ is diagonalizable.
linear-algebra
proof-explanation
diagonalization
An operator that commutes with another operator $T$ with distinct characteristic values is a polynomial in $T$
linear-algebra
matrices
diagonalization
Simultaneously diagonalization of two matrices.
linear-algebra
matrices
matrix-equations
diagonalization
Suppose $e^A = A$, prove that $A$ is diagonalizable
matrices
diagonalization
For a linear map $f: V \to V$ if $f^2$ is diagonalizable and $\ker f = \ker f^2$ then is $f$ diagonalizable?
linear-algebra
linear-transformations
diagonalization
$A$ and $A^2$ have same characteristic polynomial
linear-algebra
matrices
complex-numbers
diagonalization
characteristic-functions
show that symmetric and anti-symmetric matrices are eigenvectors for linear map
linear-algebra
matrices
linear-transformations
diagonalization
symmetric-matrices
Over which fields (besides $\mathbb{R}$) is every symmetric matrix potentially diagonalizable?
linear-algebra
abstract-algebra
finite-fields
diagonalization
symmetric-matrices
Is there any connection between a matrix being invertible and being diagonalizable?
linear-algebra
inverse
diagonalization
Simultaneous diagonlisation of two quadratic forms, one of which is positive definite
linear-algebra
spectral-theory
diagonalization
bilinear-form
Why this matrix is not diagonalizable? [closed]
real-analysis
linear-algebra
diagonalization
If matrix A is invertible, is it diagonalizable as well?
linear-algebra
matrices
inverse
diagonalization
Diagonalizable random matrix
linear-algebra
probability-theory
diagonalization
Proof of a theorem on simultaneous diagonalization from Hoffman and Kunze.
linear-algebra
matrices
diagonalization
triangularization
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