List questions from inner-products

Published on 15 Apr 2026 - 8:05

108

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Friedman's approach of proving Cauchy-Schwarz inequality

Published on 15 Apr 2026 - 5:29

107

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Finding the dual cone of $\Omega_1=\{(x_1,x_2)\in\mathbb{R}^2:x_2\geq 0\}$

Published on 15 Apr 2026 - 7:44

213

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Show that if a vector $v$ is orthogonal to $u$ then $Pv=0$ being $P=uu^T$

Published on 15 Apr 2026 - 7:24

52

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Suppose $\Vert\vec v\Vert=1$. Does $\vec v\cdot A\vec v=1$ imply $A=I$?

Published on 14 Apr 2026 - 20:17

630

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Prove that the $\langle x,y\rangle$ is an inner product.

Published on 16 Apr 2026 - 5:41

77

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Proving that an infinite Euclidean space is linear vector space

Published on 15 Apr 2026 - 23:41

66

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Bound for Inner Product Between Matrix Vector and Vector i.e $Ax$ and $x$

Published on 15 Apr 2026 - 0:31

44

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Dot product of a cartesian vector with a spherical vector

Published on 15 Apr 2026 - 5:47

37

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Is set $\{A \in \mathbb{R}^{2 \times 2} : \text{tr}(A) = 0\}$ is bounded and closed?

Published on 13 Apr 2026 - 0:33

345

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Specify the inverse of the matrix $g_{ij}=\langle v_i,v_j\rangle$, where $(v_1,...,v_n)$ is a basis

Published on 24 Apr 2026 - 19:48

191

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Fréchet Derivative of $\frac{1}{\|x\|}$

Published on 13 Apr 2026 - 13:35

221

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Doubt in exercise 8.2 in Linear Algebra by Hoffman and Kunze

Published on 14 Apr 2026 - 14:19

65

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What is so strong about the inner product?

Published on 09 Apr 2026 - 6:07

317

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Finding orthonormal bases with respect to an inner product.

Published on 15 Apr 2026 - 8:32

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A question related to $S^{\perp}$ and closure of span of $S$

Friedman's approach of proving Cauchy-Schwarz inequality

Finding the dual cone of $\Omega_1=\{(x_1,x_2)\in\mathbb{R}^2:x_2\geq 0\}$

Show that if a vector $v$ is orthogonal to $u$ then $Pv=0$ being $P=uu^T$

Suppose $\Vert\vec v\Vert=1$. Does $\vec v\cdot A\vec v=1$ imply $A=I$?

Prove that the $\langle x,y\rangle$ is an inner product.

Proving that an infinite Euclidean space is linear vector space

Bound for Inner Product Between Matrix Vector and Vector i.e $Ax$ and $x$

Dot product of a cartesian vector with a spherical vector

Is set $\{A \in \mathbb{R}^{2 \times 2} : \text{tr}(A) = 0\}$ is bounded and closed?

Specify the inverse of the matrix $g_{ij}=\langle v_i,v_j\rangle$, where $(v_1,...,v_n)$ is a basis

Fréchet Derivative of $\frac{1}{\|x\|}$

Doubt in exercise 8.2 in Linear Algebra by Hoffman and Kunze

What is so strong about the inner product?

Finding orthonormal bases with respect to an inner product.

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