Question

Suppose there are linear operators $T$ and $U$ on $V$ such that $TU = I$. Prove that $T$ is invertible and $U = T^{-1}$.

score 1k · Answer 1 · 2020-02-22 21:27:29

1k

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Suppose there are linear operators $T$ and $U$ on $V$ such that $TU = I$. Prove that $T$ is invertible and $U = T^{-1}$.

Published on 22 Feb 2020 - 21:27

score 225 · Answer 2 · 2026-03-27 14:19:09

225

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Unique Solution Periodic Differential Equation

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score 39 · Answer 3 · 2020-02-24 19:43:05

39

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Why does this give the same result with the same number of iterations?

Published on 24 Feb 2020 - 19:43

score 214 · Answer 4 · 2020-02-25 15:42:02

214

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What does 1/p mean, where p represents a probability

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score 43 · Answer 5 · 2026-03-28 22:55:06

43

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Assume $\lambda_\min(A_kA_k^{\rm T})>\varepsilon$ and show that $A_k^{\rm T}(A_kA_k^{\rm T})^{-1}$ is bounded

Published on 28 Mar 2026 - 22:55

score 39 · Answer 6 · 2026-03-28 20:40:16

39

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Why doesn't this way to get the left inverse work?

Published on 28 Mar 2026 - 20:40

score 185 · Answer 7 · 2026-03-28 22:08:21

185

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Published on 28 Mar 2026 - 22:08

score 784 · Answer 8 · 2020-02-29 08:25:32

784

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Affine Cipher: Why is the multiplicative inverse of an element mod $26$ is $a^{−1} ≡ a^{11}\mod 26$? Prove with Euler’s Theorem.

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score 27 · Answer 9 · 2020-03-01 10:32:06

27

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How to justify the coefficients in Bezout's identity can be used to invert a number?

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score 246 · Answer 10 · 2026-03-30 14:57:12

246

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Left Invertibility Implies Right Invertibility in Certain $C^*$-algebras

Published on 30 Mar 2026 - 14:57

score 94 · Answer 11 · 2020-03-03 19:27:27

94

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demonstrate that a larger n x n matrix is invertible

Published on 03 Mar 2020 - 19:27

score 146 · Answer 12 · 2020-03-03 20:01:19

146

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Moore Penrose pseudoinverse of this singular matrix arising in machine learning

Published on 03 Mar 2020 - 20:01

score 81 · Answer 13 · 2020-03-04 17:25:43

81

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Inverse Laplace Transform of an exponential containing an exponential

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score 206 · Answer 14 · 2020-03-05 19:59:58

206

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Cancelling $a$ in $ab=ca$

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score 126 · Answer 15 · 2020-03-05 22:20:55

126

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How many invertible elements in $\mathbb{Z}/(2p)\mathbb{Z}$?

Published on 05 Mar 2020 - 22:20

List Question

Suppose there are linear operators $T$ and $U$ on $V$ such that $TU = I$. Prove that $T$ is invertible and $U = T^{-1}$.

Unique Solution Periodic Differential Equation

Why does this give the same result with the same number of iterations?

What does 1/p mean, where p represents a probability

Assume $\lambda_\min(A_kA_k^{\rm T})>\varepsilon$ and show that $A_k^{\rm T}(A_kA_k^{\rm T})^{-1}$ is bounded

Why doesn't this way to get the left inverse work?

How to invert the derivative of the logistic function?

Affine Cipher: Why is the multiplicative inverse of an element mod $26$ is $a^{−1} ≡ a^{11}\mod 26$? Prove with Euler’s Theorem.

How to justify the coefficients in Bezout's identity can be used to invert a number?

Left Invertibility Implies Right Invertibility in Certain $C^*$-algebras

demonstrate that a larger n x n matrix is invertible

Moore Penrose pseudoinverse of this singular matrix arising in machine learning

Inverse Laplace Transform of an exponential containing an exponential

Cancelling $a$ in $ab=ca$

How many invertible elements in $\mathbb{Z}/(2p)\mathbb{Z}$?

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