Question

Invertibility of matrix with linearly independent functions

score 77 · Answer 1 · 2017-03-06 09:19:07

77

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Invertibility of matrix with linearly independent functions

Published on 06 Mar 2017 - 9:19

score 50 · Answer 2 · 2017-03-08 16:25:54

50

Views

Show that $F(x)$ (an inverse function of $G(x)$) is differentiable and that $F'(x)$ is $F(x)$, not assuming $F(x) = e^x$

Published on 08 Mar 2017 - 16:25

score 106 · Answer 3 · 2017-03-10 18:28:38

106

Views

Derive an expression for the inverse of $\textrm{exp}(A)=I+A+A^2/2!+A^3/3!+\dots$

Published on 10 Mar 2017 - 18:28

score 798 · Answer 4 · 2017-03-11 03:31:47

798

Views

Inverse of a matrix (Show that A is invertible and find the inverse)

Published on 11 Mar 2017 - 3:31

score 57 · Answer 5 · 2026-03-30 13:54:44

57

Views

Find the inverse of a function like $f(t,x,y)=(\frac{x}{t+1},\frac{y}{t+1})$

Published on 30 Mar 2026 - 13:54

score 586 · Answer 6 · 2017-03-12 06:27:45

586

Views

How to derive the following formula for the inverse of a matrix?

Published on 12 Mar 2017 - 6:27

score 267 · Answer 7 · 2017-03-12 20:34:12

267

Views

Let $A, B, C$ be invertible $n \times n$ matrices. Prove that $(A^T B)^{-1} = B^{-1}(A^{-1})^T$

Published on 12 Mar 2017 - 20:34

score 3.3k · Answer 8 · 2017-03-13 18:09:44

3.3k

Views

Prove that $A+I_n$ is invertible, where $\left\lVert A\right\rVert<1$

Published on 13 Mar 2017 - 18:09

score 526 · Answer 9 · 2017-03-14 07:57:19

526

Views

Inverse square root of a matrix with specific pattern

Published on 14 Mar 2017 - 7:57

score 12.7k · Answer 10 · 2017-03-15 12:19:27

12.7k

Views

Prove that if an inverse function exists, then it is unique.

Published on 15 Mar 2017 - 12:19

score 2.2k · Answer 11 · 2017-03-16 23:15:45

2.2k

Views

How do you determine if a matrix is invertible by investigating the equation Ax = I?

Published on 16 Mar 2017 - 23:15

score 98 · Answer 12 · 2017-03-18 12:59:59

98

Views

Assume that $A^3=A$. For which values of $w$ is the matrix $wI-A$ invertible?

Published on 18 Mar 2017 - 12:59

score 18 · Answer 13 · 2026-03-21 01:19:40

18

Views

Inverse of non-continuous scale

Published on 21 Mar 2026 - 1:19

score 90 · Answer 14 · 2017-03-24 01:05:01

90

Views

Can a matrix with missing values be an isomorphism, if so how do you find the inverse?

Published on 24 Mar 2017 - 1:05

score 1k · Answer 15 · 2017-03-24 07:39:32

1k

Views

Inverse Laplace transform of fractional power

Published on 24 Mar 2017 - 7:39

List Question

Invertibility of matrix with linearly independent functions

Show that $F(x)$ (an inverse function of $G(x)$) is differentiable and that $F'(x)$ is $F(x)$, not assuming $F(x) = e^x$

Derive an expression for the inverse of $\textrm{exp}(A)=I+A+A^2/2!+A^3/3!+\dots$

Inverse of a matrix (Show that A is invertible and find the inverse)

Find the inverse of a function like $f(t,x,y)=(\frac{x}{t+1},\frac{y}{t+1})$

How to derive the following formula for the inverse of a matrix?

Let $A, B, C$ be invertible $n \times n$ matrices. Prove that $(A^T B)^{-1} = B^{-1}(A^{-1})^T$

Prove that $A+I_n$ is invertible, where $\left\lVert A\right\rVert<1$

Inverse square root of a matrix with specific pattern

Prove that if an inverse function exists, then it is unique.

How do you determine if a matrix is invertible by investigating the equation Ax = I?

Assume that $A^3=A$. For which values of $w$ is the matrix $wI-A$ invertible?

Inverse of non-continuous scale

Can a matrix with missing values be an isomorphism, if so how do you find the inverse?

Inverse Laplace transform of fractional power

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