Ivan Shishkin, Rye (1878)

Problems/Linear algebraExerciseReviewed

Diagonalisabilité de l’identité ?

by Ancient Tree·
28
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This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

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  2. 11–25Beginner / high schoolDébutant / lycée
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La matrice identité
I3=(100010001)I_{3}=\begin{pmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 1 \end{pmatrix}est-elle diagonalisable ?

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Solution by Ancient Tree

Discussions1 useful vote

En fait, la matrice identité est directement diagonale. En particulier, elle est semblable à elle-même, donc diagonalisable...

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