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diimension
  • Member for 9 years, 11 months
  • Last seen more than 9 years ago
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242 votes
3 answers
63k views

Why study Algebraic Geometry?

  • 13.9k
212 votes
10 answers
70k views

Teaching myself differential topology and differential geometry

188 votes
7 answers
135k views

How to intuitively understand eigenvalue and eigenvector?

  • 4,617
128 votes
13 answers
133k views

Why study linear algebra?

  • 1,319
96 votes
4 answers
63k views

Importance of matrix rank

  • 2,471
83 votes
4 answers
125k views

A matrix and its transpose have the same set of eigenvalues/other version: $A$ and $A^T$ have the same spectrum

  • 1,693
77 votes
3 answers
17k views

String Theory: What to do?

74 votes
6 answers
41k views

Geometric interpretation for complex eigenvectors of a 2×2 rotation matrix

  • 2,337
65 votes
5 answers
49k views

How to take the gradient of the quadratic form?

  • 763
47 votes
5 answers
40k views

Can a real symmetric matrix have complex eigenvectors?

  • 1,318
34 votes
2 answers
29k views

Why are all nonzero eigenvalues of the skew-symmetric real matrices pure imaginary?

21 votes
2 answers
46k views

Eigenvalues are unique?

  • 213
21 votes
1 answer
3k views

How to understand the spectral decomposition geometrically?

  • 4,617
6 votes
2 answers
2k views

A unitary matrix taking a real matrix to another real matrix, is it an orthogonal matrix?

  • 2,427
4 votes
1 answer
2k views

What does linear dependence (among vectors) actually mean geometrically?

  • 123
2 votes
1 answer
434 views

Linear Algebra Question ( rank of matrix )

2 votes
2 answers
203 views

Question 5 from Summer 2012 Exam Course 20109

2 votes
1 answer
101 views

Minimization under condition

  • 666
2 votes
1 answer
3k views

Are Jordan chains always linearly independent?

2 votes
1 answer
401 views

A matrix with the property $\mathrm{tr}(A^{m})=0$ for every $m$ is nilpotent? [duplicate]

  • 2,993
1 vote
1 answer
124 views

How is the dotproduct a projection?

  • 155
1 vote
1 answer
95 views

Question on Linear Algebra

  • 6,457
1 vote
2 answers
206 views

How to show $(A^{T}A)^{2}=A^{T}A$, where A is a matrix.

  • 916
1 vote
1 answer
477 views

Dimension of least squares solution

  • 13
1 vote
2 answers
4k views

Let $M_{2\times 2}$ be the vector space of all $2\times 2$ matrices. Show that the set of non-singular matrices is NOT a subspace.

  • 335
1 vote
3 answers
1k views

Why is every solution to a homogenous second-order linear differential equation in the form $C_0e^{\alpha x} + C_1e^{\beta x}$

1 vote
1 answer
88 views

Bases and Dimension

  • 531
0 votes
3 answers
1k views

Jordan Canonical form of a matrix over rationals whose all entries are 1.

  • 13