List questions from vector-spaces | MathQa

Show that $f(0)=f(-1)$ is a subspace

Published on 14 Jun 2025 - 3:11

$a*x=0$ implies $x=0$ for all scalars $a$ and vectors $x$.

Published on 14 Jun 2025 - 3:16

Vector space simple propertie

Published on 14 Jun 2025 - 3:17

Is the row space of a matrix (order n by m, m < n) of full column rank equal to $\mathbb{R}^m$?

Published on 14 Jun 2025 - 3:11

orthonormal basis question - linear algebra

Published on 14 Jun 2025 - 3:12

Expressing a Vector in a new Basis

Published on 14 Jun 2025 - 3:12

Linear Algebra: Let $w=[1,2,3]_{L_1}$. Find the coordinates of w with respect to $L$ directly and by using $P^{-1}$

Published on 14 Jun 2025 - 3:12

Direct sum counterexample

Published on 14 Jun 2025 - 3:12

Prove $(\sum\limits_k a_k b_k)^2 \leq \sum\limits_k b_k a_k^2 \sum\limits_k b_k$ using Cauchy Schwarz

Published on 14 Jun 2025 - 3:17

Proving that $\dim(U ⊕ W ) = \dim U + \dim W$

Published on 14 Jun 2025 - 3:17