Question

Inverse of a triangular-by-block $3 \times 3$ matrix

score 155 · Answer 1 · 2026-05-06 07:33:58

155

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Inverse of a triangular-by-block $3 \times 3$ matrix

Published on 06 May 2026 - 7:33

score 431 · Answer 2 · 2026-04-29 12:15:04

431

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Proving whether a matrix is invertible

Published on 29 Apr 2026 - 12:15

score 83 · Answer 3 · 2026-05-02 18:42:20

83

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Proof verification : Assume $A$ is a $n×m$ matrix, and $B$ is $m×n$. Prove that $AB$, an $n×n$ matrix is not invertible, if $n>m$.

Published on 02 May 2026 - 18:42

score 510 · Answer 4 · 2026-05-07 07:35:56

510

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Help with proof or counterexample: $A^3=0 \implies I_n+A$ is invertible

Published on 07 May 2026 - 7:35

score 56 · Answer 5 · 2026-04-29 12:15:08

56

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Show that if $a_1,\ldots,a_n$ are elements of a group then $(a_1\cdots a_n)^{-1} =a_n^{-1} \cdots a_1^{-1}$

Published on 29 Apr 2026 - 12:15

score 62 · Answer 6 · 2026-05-02 20:03:46

62

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Simplifying $\tan^{-1} {\cot(\frac{-1}4)}$

Published on 02 May 2026 - 20:03

score 187 · Answer 7 · 2026-04-29 12:15:05

187

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Invertible matrix and inverse matrix

Published on 29 Apr 2026 - 12:15

score 88 · Answer 8 · 2026-05-05 19:15:03

88

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show $f(x)=f^{-1}(x)=x-\ln(e^x-1)$

Published on 05 May 2026 - 19:15

score 103 · Answer 9 · 2026-05-02 18:19:19

103

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Inverse matrix for $M_{kn}=\frac{i^{(k-n)}}{2^n}\sum_{j=0}^{n} (-1)^j \binom{n}{j}(n-2j)^k$

Published on 02 May 2026 - 18:19

score 2.5k · Answer 10 · 2026-05-07 13:28:19

2.5k

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What is the determinant modulo 2?

Published on 07 May 2026 - 13:28

score 656 · Answer 11 · 2026-05-03 12:50:16

656

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If A is such that $(A+2I)^2=0$, prove that $A+I$ is invertible.

Published on 03 May 2026 - 12:50

score 2.2k · Answer 12 · 2026-05-02 18:30:33

2.2k

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Prove that the set of invertible elements in a Banach algebra is open

Published on 02 May 2026 - 18:30

score 400 · Answer 13 · 2026-04-29 12:16:36

400

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Are most linear operators invertible?

Published on 29 Apr 2026 - 12:16

score 173 · Answer 14 · 2026-05-07 10:12:52

173

Views

A good estimation of the inverse $f^{-1}(x)$ of $-\sum_{n=2}^\infty\frac{\mu(n)}{n}x^n$, over the unit inverval if it has mathematical meaning

Published on 07 May 2026 - 10:12

score 65 · Answer 15 · 2026-04-29 12:16:39

65

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Determination of Invertibility

Published on 29 Apr 2026 - 12:16

List Question

Inverse of a triangular-by-block $3 \times 3$ matrix

Proving whether a matrix is invertible

Proof verification : Assume $A$ is a $n×m$ matrix, and $B$ is $m×n$. Prove that $AB$, an $n×n$ matrix is not invertible, if $n>m$.

Help with proof or counterexample: $A^3=0 \implies I_n+A$ is invertible

Show that if $a_1,\ldots,a_n$ are elements of a group then $(a_1\cdots a_n)^{-1} =a_n^{-1} \cdots a_1^{-1}$

Simplifying $\tan^{-1} {\cot(\frac{-1}4)}$

Invertible matrix and inverse matrix

show $f(x)=f^{-1}(x)=x-\ln(e^x-1)$

Inverse matrix for $M_{kn}=\frac{i^{(k-n)}}{2^n}\sum_{j=0}^{n} (-1)^j \binom{n}{j}(n-2j)^k$

What is the determinant modulo 2?

If A is such that $(A+2I)^2=0$, prove that $A+I$ is invertible.

Prove that the set of invertible elements in a Banach algebra is open

Are most linear operators invertible?

A good estimation of the inverse $f^{-1}(x)$ of $-\sum_{n=2}^\infty\frac{\mu(n)}{n}x^n$, over the unit inverval if it has mathematical meaning

Determination of Invertibility

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