List questions from matrix-rank | MathQa

Show CA=CB iff A=B

Published on 12 Jan 2025 - 18:43

Is the row space of a matrix (order n by m, m < n) of full column rank equal to $\mathbb{R}^m$?

Published on 12 Jan 2025 - 18:58

Product of maximal rank matrices with a positive definite matrix

Published on 28 Dec 2024 - 17:48

A rectangular matrix of full rank can be multiplied by infinitely many matrices to form the identity

Published on 30 Dec 2024 - 19:53

What really is codomain?

Published on 12 Jan 2025 - 17:32

Find the Rank and Signature of a Billinear Form

Published on 29 Dec 2024 - 22:53

Let A be a square matrix of order n. Prove that if $A^2 = A$, then $\operatorname{rank}(A) + \operatorname{rank}(I - A) = n$.

Published on 28 Dec 2024 - 7:46

Find a matrix $A$ with nullity($A$) = 3 and nullity($A^T$) = 1 which contains no zero elements

Published on 29 Dec 2024 - 13:52

Matrices with rank exactly r as variety

Published on 29 Dec 2024 - 20:04

$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix

Published on 02 Jan 2025 - 6:20