?Let $J_{n}$ be the $n \times n$ matrix each of whose entries is 1 . Show that if

Chapter 1, Problem 17

(choose chapter or problem)

Let $J_{n}$ be the $n \times n$ matrix each of whose entries is 1 . Show that if $n>1$, then

$\left(I-J_{n}\right)^{-1}=I-\frac{1}{n-1} J_{n}$

Equation Transcription:

${J}_{n}$

$n\times{}n$

$n>1$

${\left({I-{J}_{n}}\right)}^{-1}=I-\frac{1}{n-1}{J}_{n}$

Text Transcription:

J_n

n x n

n>1

I-J^n-1=I-1/n-1J_n

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?Let \(J_{n}\) be the \(n \times n\) matrix each of whose entries is 1 . Show that if