- #1

- 27

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2) Is an Invertable matrix always Diagonalizable?

3) Is a matrix in jordan normal form always invertable

The answers are prob straight foward but im confused.

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- Thread starter heshbon
- Start date

- #1

- 27

- 0

2) Is an Invertable matrix always Diagonalizable?

3) Is a matrix in jordan normal form always invertable

The answers are prob straight foward but im confused.

- #2

- 27

- 0

1) Is a diagonal matrix always invertable?

2) Is an Invertable matrix always Diagonalizable?

3) Is a matrix in jordan normal form always invertable

The answers are prob straight foward but im confused.

- #3

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- 0

- #4

- 116

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2) No. If an nxn matrix is diagonalizable, it must have n linearly independent eigenvectors. [tex] A = \left(\begin{array}{cc}1&0\\1&1\end{array}\right) [/tex] is invertibile but not diagonalizable.

3) I don't know. :uhh:

- #5

HallsofIvy

Science Advisor

Homework Helper

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Is

[tex]\begin{bmatrix}1 & 0 & 0 \\ 0 & 1 & 0\\ 0 & 0 & 0\end{bmatrix}[/tex]

invertible?

- #6

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Thanks greatly.

That clears it all up.

That clears it all up.

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