[Solution Library] Let N=(n_i j) be an upper triangular matrix n_i j=0 if i ≥q j . Show that N is nilpotent. Let D be a diagonal matrix. Explain in details
Question:
- Let \(N=\left(n_{i j}\right)\) be an upper triangular matrix \(n_{i j}=0\) if \(i \geq j .\) Show that \(N\) is nilpotent.
- Let \(D\) be a diagonal matrix. Explain in details how do you compute \(e^{D+N}\).
- Compute \(e^{A}\) where
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