New posts in linear-algebra

Proving isomorphism between linear maps and matrices

linear-algebra proof-verification linear-transformations

An inequality for the dimension of the sum of subspaces

Verifying the examples of Dual Space

Do Real Symmetric Matrices have 'n' linearly independent eigenvectors? [duplicate]

linear-algebra eigenvalues-eigenvectors symmetric-matrices

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

spectral radius vs. 2-norm [duplicate]

linear-algebra svd

Orthogonal matrix of determinant $-1$

Invertibility of Mixing Matrix $M$ in $A=CMR$

linear-algebra inverse matrix-rank

How to find Maximum of the following non-linear function of $x,y$ without using calculus

linear-algebra linear-programming

Prove the following three conditions are equivalent. 1 $u=cv,c>0$. 2 $(u|v)=||u||||v||$. 3 $||u+v||=||u||+||v||$.

linear-algebra inner-products

Maximum number of Q-orthogonal vectors

linear-algebra vectors convex-optimization positive-definite symmetric-matrices

I can't understand a definition and a theorem about vector spaces and linear (in)dependency of a set of vectors

Showing $1,e^{x}$ and $\sin{x}$ are linearly independent in $\mathcal{C}[0,1]$

linear-algebra analysis vector-spaces

Why is the exterior algebra a bi-algebra (and even a Hopf algebra)?

linear-algebra abstract-algebra

Apostol proof divides by zero?

Why is this true for matrices? Linearly dependent columns $\implies$ not invertible

linear-algebra matrices

Where does the Jordan canonical form show up in more advanced mathematics?

linear-algebra abstract-algebra matrices jordan-normal-form research

Generate a vector space based on a finite set

linear-algebra vector-spaces