User diimension

118 votes

2 answers

82k views

Prove that simultaneously diagonalizable matrices commute

linear-algebra matrices

asked Nov 13, 2012 at 4:54

37 votes

3 answers

54k views

Inverse of a Positive Definite

asked Oct 12, 2012 at 3:53

15 votes

5 answers

11k views

If a Matrix Has Only Zero as an Eigen-Value Then It Is Nilpotent

linear-algebra matrices

asked Dec 11, 2012 at 4:03

8 votes

3 answers

11k views

Gram Matrices Rank [duplicate]

linear-algebra matrices

asked Oct 13, 2012 at 2:03

6 votes

6 answers

14k views

Prove that if $A$ is invertible matrix then $AA^T$ and $A^T A$ are also invertible.

linear-algebra

asked Sep 20, 2012 at 22:40

6 votes

2 answers

12k views

Singular value proofs

linear-algebra

asked Nov 26, 2012 at 4:14

4 votes

4 answers

12k views

Positive Definite Matrix Determinant

linear-algebra matrices

asked Oct 8, 2012 at 5:30

4 votes

2 answers

11k views

Orthogonal Projection Proof

linear-algebra

asked Nov 3, 2012 at 23:20

3 votes

1 answer

2k views

Linearly Independent Dot Product Proof

linear-algebra

asked Oct 25, 2012 at 8:16

3 votes

1 answer

388 views

Matrix of Positive Definite

linear-algebra

asked Oct 8, 2012 at 21:49

3 votes

1 answer

6k views

Diagonal Matrix Proof

linear-algebra

asked Oct 12, 2012 at 1:25

3 votes

1 answer

7k views

Symmetric Matrix Proof

linear-algebra

asked Sep 21, 2012 at 0:43

3 votes

1 answer

4k views

The zero vector

linear-algebra

asked Sep 22, 2012 at 2:17

3 votes

1 answer

1k views

Determine if function lies within span of vector valued function

linear-algebra

asked Dec 6, 2012 at 6:55

3 votes

4 answers

3k views

Orthonormal Projection Proof

linear-algebra

asked Nov 23, 2012 at 1:32

3 votes

4 answers

6k views

Polynomial Orthogonal Complement

linear-algebra inner-products

asked Nov 6, 2012 at 2:49

3 votes

1 answer

5k views

Complex Conjugate Eigenvectors Proof

linear-algebra

asked Nov 12, 2012 at 0:50

3 votes

1 answer

205 views

Linear Algebra Proof

linear-algebra

asked Dec 11, 2012 at 0:35

2 votes

1 answer

337 views

Branch of Mathematics correlating with Physics

reference-request mathematical-physics

asked Nov 9, 2012 at 1:22

2 votes

1 answer

1k views

Rodrigues Legendre Polynomial Proof

linear-algebra

asked Nov 6, 2012 at 23:02

2 votes

1 answer

1k views

Prove that $A = A^T$ has a repeated eigenvalue iff $AJ = JA$ for a nonzero skew-symmetric matrix $J^T = -J \ne 0$

linear-algebra

asked Nov 24, 2012 at 7:55

2 votes

1 answer

539 views

Conditions that define a subspace

linear-algebra

asked Sep 17, 2012 at 22:03

2 votes

1 answer

530 views

Positive Definite Addition

linear-algebra

asked Oct 12, 2012 at 2:45

2 votes

1 answer

361 views

Minkowski spacetime light cone

linear-algebra

asked Oct 8, 2012 at 23:30

2 votes

1 answer

3k views

Prove that the even (odd) degree Legendre polynomials are even > (odd) functions of $t$.

legendre-polynomials

asked Nov 2, 2012 at 5:08

2 votes

2 answers

2k views

Orthogonal Inner Product Proof

linear-algebra inner-products

asked Oct 21, 2012 at 2:17

2 votes

1 answer

3k views

Proper Orthogonal Matrix

linear-algebra

asked Oct 22, 2012 at 0:49

1 vote

2 answers

3k views

If $A$ is skew-symmetric, then $I-A$ is invertible and $Q = (I-A)^{-1}(I+A)$ is orthogonal

linear-algebra matrices orthogonal-matrices skew-symmetric-matrices

asked Oct 22, 2012 at 1:58

1 vote

1 answer

64 views

Least Squares Construction

linear-algebra

asked Oct 22, 2012 at 20:54

1 vote

2 answers

230 views

Positive Definite Symmetric Matrices Proof

linear-algebra

asked Oct 16, 2012 at 0:10

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58 Questions

Prove that simultaneously diagonalizable matrices commute

Inverse of a Positive Definite

If a Matrix Has Only Zero as an Eigen-Value Then It Is Nilpotent

Gram Matrices Rank [duplicate]

Prove that if $A$ is invertible matrix then $AA^T$ and $A^T A$ are also invertible.

Singular value proofs

Positive Definite Matrix Determinant

Orthogonal Projection Proof

Linearly Independent Dot Product Proof

Matrix of Positive Definite

Diagonal Matrix Proof

Symmetric Matrix Proof

The zero vector

Determine if function lies within span of vector valued function

Orthonormal Projection Proof

Polynomial Orthogonal Complement

Complex Conjugate Eigenvectors Proof

Linear Algebra Proof

Branch of Mathematics correlating with Physics

Rodrigues Legendre Polynomial Proof

Prove that $A = A^T$ has a repeated eigenvalue iff $AJ = JA$ for a nonzero skew-symmetric matrix $J^T = -J \ne 0$

Conditions that define a subspace

Positive Definite Addition

Minkowski spacetime light cone

Prove that the even (odd) degree Legendre polynomials are even > (odd) functions of $t$.

Orthogonal Inner Product Proof

Proper Orthogonal Matrix

If $A$ is skew-symmetric, then $I-A$ is invertible and $Q = (I-A)^{-1}(I+A)$ is orthogonal

Least Squares Construction

Positive Definite Symmetric Matrices Proof