List questions from matrix-rank

Published on 12 Dec 2018 - 0:02

1k

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Differing rank between non-homogeneous system and coefficient matrix

Published on 12 Dec 2018 - 21:25

118

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constrained rank approximation

Published on 25 Mar 2026 - 7:38

36

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Compute $\text{rk}(p)$ using Gauss reduction on $A$. Compute $\dim\big(\ker(p)\big)$.

Published on 13 Dec 2018 - 17:02

2.7k

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Is not full rank matrix invertible?

Published on 14 Dec 2018 - 16:12

153

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If we know the rank of a matrix r, can we assume that will have precisely r non-zero eigenvalues?

Published on 17 Dec 2018 - 0:10

760

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Given this 4x4 matrix, is there an easier way to calculate the eigenvalues?

Published on 17 Dec 2018 - 5:22

1.9k

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What is the meaning of Rank[A | b]? (Linear Algebra)

Published on 18 Dec 2018 - 14:11

1.2k

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Rank, nullity and the number of rows of a matrix

Published on 25 Mar 2026 - 11:15

124

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Dimension of nullspace and number of rows

Published on 21 Dec 2018 - 5:59

96

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Projection Matrixes, $A,B$ such that $\text{Id} - (A+B)$ is invertible

Published on 23 Dec 2018 - 5:27

58

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Comparing the ranks of leading princial minors of a square symmetric matrix

Published on 25 Mar 2026 - 11:16

59

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if $A \in C^{2015,2015}$ and $rank(A) < 1000$ proof that $\dim(\ker(A+A^T)) > 15$

Published on 30 Dec 2018 - 15:18

54

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invertibility of the block Vandermonde matrix

Published on 25 Mar 2026 - 7:43

101

Views

How can I find rank of $A=\sum_{i=1}^4 x_ix_i^T$ without actually finding the matrix $A$?

Published on 03 Jan 2019 - 14:41

List Question

Rank, nullity and consistency for two matrices

Differing rank between non-homogeneous system and coefficient matrix

constrained rank approximation

Compute $\text{rk}(p)$ using Gauss reduction on $A$. Compute $\dim\big(\ker(p)\big)$.

Is not full rank matrix invertible?

If we know the rank of a matrix r, can we assume that will have precisely r non-zero eigenvalues?

Given this 4x4 matrix, is there an easier way to calculate the eigenvalues?

What is the meaning of Rank[A | b]? (Linear Algebra)

Rank, nullity and the number of rows of a matrix

Dimension of nullspace and number of rows

Projection Matrixes, $A,B$ such that $\text{Id} - (A+B)$ is invertible

Comparing the ranks of leading princial minors of a square symmetric matrix

if $A \in C^{2015,2015}$ and $rank(A) < 1000$ proof that $\dim(\ker(A+A^T)) > 15$

invertibility of the block Vandermonde matrix

How can I find rank of $A=\sum_{i=1}^4 x_ix_i^T$ without actually finding the matrix $A$?

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