**Jordan Block**

Any Jordan block of size 2×2 or larger is defective. For example, the n × n Jordan block,

has an eigenvalue, λ, with multiplicity n, but only one distinct eigenvector,

Read more about this topic: Defective Matrix

### Other articles related to "jordan block, jordan, block, blocks, jordan blocks":

... In the mathematical discipline of matrix theory, a

**Jordan block**over a ring (whose identities are the zero 0 and one 1) is a matrix composed of 0 elements everywhere ... The concept is named after Camille

**Jordan**Every

**Jordan block**is thus specified by its dimension n and its eigenvalue and is indicated as ... Any

**block**diagonal matrix whose

**blocks**are

**Jordan blocks**is called a

**Jordan**matrix using either the or the “” symbol, the

**block**diagonal square matrix whose ...

... In general, a square complex matrix A is similar to a

**block**diagonal matrix where each

**block**Ji is a square matrix of the form So there exists an invertible matrix P such that P-1AP = J is such that ... J is called the

**Jordan**normal form of A ... Each Ji is called a

**Jordan block**of A ...

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—Walter Benjamin (1892–1940)

“Let me just say, at once: I am not now nor have I ever been a white man. And, leaving aside the joys of unearned privilege, this leaves me feeling pretty good ...”

—June *Jordan* (b. 1936)