Question

Do we discuss quadratic form of complex matrix?

score 1.8k · Answer 1 · 2026-03-25 08:37:29

1.8k

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Do we discuss quadratic form of complex matrix?

Published on 25 Mar 2026 - 8:37

score 167 · Answer 2 · 2026-03-24 20:41:27

167

Views

Can I deduce the real matrix version of Schur's lemma by complex version one?

Published on 24 Mar 2026 - 20:41

score 69 · Answer 3 · 2026-03-25 14:23:52

69

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If the triangle A,B,C has a right angle at the corner A, what is x?

Published on 25 Mar 2026 - 14:23

score 53 · Answer 4 · 2026-03-25 17:44:36

53

Views

Prove/Disprove$ \langle f,f\rangle = 2\int_0^{0.5} \left | f(t) \right |^2 \, dt -\int_{0.5}^1 \left | f(t) \right |^2 \, dt = 0 \Rightarrow f = 0$

Published on 25 Mar 2026 - 17:44

score 125 · Answer 5 · 2026-03-25 01:24:07

125

Views

Prove that $\lVert X\rVert^2 =\sum_{i,j=1}^\infty\lvert\langle u_i,Xu_j\rangle\rvert^2$.

Published on 25 Mar 2026 - 1:24

score 42 · Answer 6 · 2026-03-25 07:15:35

42

Views

Orthogonal and closedness in normed spaces with inner product

Published on 25 Mar 2026 - 7:15

score 49 · Answer 7 · 2026-03-25 17:42:15

49

Views

For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

Published on 25 Mar 2026 - 17:42

score 53 · Answer 8 · 2026-03-29 15:31:18

53

Views

Thinking about structure and structure-preserving maps more formally

Published on 29 Mar 2026 - 15:31

score 399 · Answer 9 · 2026-03-17 01:50:52

399

Views

Verify that this is an inner product.

Published on 17 Mar 2026 - 1:50

score 430 · Answer 10 · 2026-03-25 19:06:18

430

Views

Can one compute the dot product knowing only the basis expansions of vectors v and w?

Published on 25 Mar 2026 - 19:06

score 462 · Answer 11 · 2026-03-20 07:51:29

462

Views

Integral of product of Bessel functions of first kind and different order and argument

Published on 20 Mar 2026 - 7:51

score 46 · Answer 12 · 2026-03-25 06:13:13

46

Views

Orthogonal projection $P_{W_1}P_{W_2} = P_{W_2}P_{W_1}\iff W_1\perp W_2$

Published on 25 Mar 2026 - 6:13

score 50 · Answer 13 · 2026-03-29 14:40:06

50

Views

Finding a vector perpendicular to a given vector in 3 dimensional space

Published on 29 Mar 2026 - 14:40

score 486 · Answer 14 · 2026-03-30 13:33:59

486

Views

Thales Theorem using algebra

Published on 30 Mar 2026 - 13:33

score 1k · Answer 15 · 2026-03-24 22:09:41

1k

Views

Failing to prove that E(XY) is an inner product

Published on 24 Mar 2026 - 22:09

List Question

Do we discuss quadratic form of complex matrix?

Can I deduce the real matrix version of Schur's lemma by complex version one?

If the triangle A,B,C has a right angle at the corner A, what is x?

Prove/Disprove$ \langle f,f\rangle = 2\int_0^{0.5} \left | f(t) \right |^2 \, dt -\int_{0.5}^1 \left | f(t) \right |^2 \, dt = 0 \Rightarrow f = 0$

Prove that $\lVert X\rVert^2 =\sum_{i,j=1}^\infty\lvert\langle u_i,Xu_j\rangle\rvert^2$.

Orthogonal and closedness in normed spaces with inner product

For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

Thinking about structure and structure-preserving maps more formally

Verify that this is an inner product.

Can one compute the dot product knowing only the basis expansions of vectors v and w?

Integral of product of Bessel functions of first kind and different order and argument

Orthogonal projection $P_{W_1}P_{W_2} = P_{W_2}P_{W_1}\iff W_1\perp W_2$

Finding a vector perpendicular to a given vector in 3 dimensional space

Thales Theorem using algebra

Failing to prove that E(XY) is an inner product

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