Facing difficulty in finding a counterexample to prove that the set SL$(n, \Bbb R)$ is not bounded in M$(n, \Bbb R)$ for $n \geq 2$.

Question

Here SL$(n, \Bbb R)$ is the set of all $n \times n$ matrices whose det is $1$.

Just take a suitable diagonal matrix. – anomaly Mar 06 '15 at 12:34 — anomaly, Mar 06 '15 at 12:34
will the matrix work?? Diag(n,1/n,1,1....,1) – User8976 Mar 06 '15 at 12:34 — User8976, Mar 06 '15 at 12:34

score 1 · Accepted Answer · answered Mar 06 '15 at 12:36

1

Take this $A=(a_{ij})$ where $a_{11}=1,a_{12}=n,a_{21}=0,a_{22}=1$

answered Mar 06 '15 at 12:36

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