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Dr. Sundar's user avatar
Dr. Sundar's user avatar
Dr. Sundar's user avatar
Dr. Sundar
  • Member for 2 years, 2 months
  • Last seen more than a week ago
  • Chennai, India
6 votes
3 answers
744 views

How to establish that an anti-idempotent matrix is singular?

5 votes
0 answers
73 views

What is the intuition behind a G-matrix? Any important applications in science and engineering?

4 votes
1 answer
208 views

A quick proof for $\mbox{rank}(A + B) \leq \mbox{rank}(A) + \mbox{rank}(B)$

4 votes
1 answer
326 views

Any geometric interpretation for the adjoint system of a linear dynamical system?

2 votes
1 answer
326 views

How to establish marginal stability of a mass-spring system using Routh array?

2 votes
0 answers
243 views

Engineering applications of the Rank-Nullity Theorem?

2 votes
3 answers
277 views

Example: The definite integral of a singular matrix need not be singular

2 votes
2 answers
322 views

When $A$ is skew-symmetric, $Q = e^{A t}$ is orthogonal, i.e. $Q^T Q = I$.

2 votes
1 answer
211 views

On proving Hadamard’s Determinant Inequality (using Weierstrass Theorem)

1 vote
0 answers
42 views

Bounds for rank of product of two matrices $A$ and $B$ [duplicate]

1 vote
2 answers
110 views

A query on the eigenvalues of anti-involution matrix

1 vote
2 answers
179 views

A query about the reciprocals of condition numbers of nonsingular matrices

1 vote
0 answers
59 views

On proving a result on the eigenvalues of a projection matrix on least-squares method

0 votes
1 answer
35 views

How to solve a linear algebra problem of finding a linear combination as a problem in matrix algebra of solving a system of linear equations?

0 votes
0 answers
177 views

How to establish the identity $\Vert A B \Vert_F \leq \Vert A \Vert_F \Vert B \Vert_F$ for the Frobenius matrix norm? [duplicate]

0 votes
1 answer
51 views

How to find the characteristic polynomial of a differential operator $D$ on a vector space of functions with $\cos \theta, \sin \theta$ as basis? [closed]

0 votes
1 answer
148 views

How to prove: A geometric characterization of a $2 \times 2$ orthogonal matrix $A$ with $\mbox{det}(A) = 1$.

0 votes
1 answer
819 views

Why is the "max norm" for matrices not an operator norm? [duplicate]

0 votes
1 answer
522 views

How to establish a relation between the 2-norm condition number and the eigenvalues of a matrix $A$ (not-necessarily symmetric)?

0 votes
1 answer
151 views

A characterization for a complex matrix $A$ to be a normal matrix.

0 votes
0 answers
65 views

What is the relation between the eigenvalues and eigenvectors of the two products $A B $ and $B A$ of $n \times n$ matrices $A$ and $B$?

0 votes
0 answers
48 views

Heisenberg's Uncertainty Principle for Infinite Matrices (Mathematical Proof and Physical Significance)

0 votes
0 answers
106 views

Finding the Kernel of a Linear Transformation: $T(A) = A M - M A$, where $A, M$ are square matrices.

0 votes
0 answers
44 views

On finding a lower bound for the condition number of invertible matrices on $\mathbf{C}^{n \times n}$

-1 votes
1 answer
239 views

How to give a geometric proof for the volume of the parallelopiped? [duplicate]