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New posts in matrices
How to find the derivative of the commutator map?
matrices
derivatives
matrix-calculus
Can an underdetermined system have a unique solution?
linear-algebra
matrices
What is the geometric interpretation of matrix addition?
linear-algebra
matrices
geometric-interpretation
Show that similar matrices have same trace
linear-algebra
matrices
trace
Why is a positive definite matrix needed in the ellipsoid matrix representation?
linear-algebra
matrices
analytic-geometry
Proving that a symmetric matrix is positive definite iff all eigenvalues are positive
linear-algebra
matrices
eigenvalues-eigenvectors
diagonalization
Compute Jordan Form of the following matrix
linear-algebra
matrices
jordan-normal-form
Chain rule and derivative with matrix product?
matrices
derivatives
matrix-calculus
chain-rule
hadamard-product
Prove that $AB=BA=0$ for two idempotent matrices.
matrices
Matrices with eigenvalues 0 and 1
calculus
linear-algebra
matrices
eigenvalues-eigenvectors
Help with proving that the transpose of the product of any number of matrices is equal to the product of their transposes in reverse
linear-algebra
matrices
transpose
Normal but not hermitian nor unitary
linear-algebra
matrices
Orthogonal projection matrix
linear-algebra
matrices
Find eigenvalue of $B= I + A^{-1}+A^{-2}+A^{-3}+...$
linear-algebra
sequences-and-series
matrices
eigenvalues-eigenvectors
matrix-calculus
Matrix Spectral Radius and Induced Matrix Norms
linear-algebra
matrices
eigenvalues-eigenvectors
matrix-norms
spectral-radius
Let $A$ be a $2 \times 2$ matrix such that $A^2=I$. Find trace and determinant
linear-algebra
matrices
eigenvalues-eigenvectors
determinant
trace
Rank of matrix AB when A and B have full rank
linear-algebra
matrices
transformation
Skew symmetric matrix of vector
linear-algebra
matrices
cross-product
Let $A\in M_{n\times n}(\Bbb R)$ so that $I\notin span(A,A^2,...,A^n)$. Prove that $\det(A)=0$.
linear-algebra
matrices
determinant
Calculating matrix exponential
linear-algebra
matrices
matrix-calculus
matrix-exponential
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