[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:

  1. 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.
  2. Let \(D\) be a diagonal matrix. Explain in details how do you compute \(e^{D+N}\).
  3. Compute \(e^{A}\) where
\[A=\left[\begin{array}{ccc} 1 & 2 & 1 \\ 0 & -3 & 1 \\ 0 & 0 & -1 \end{array}\right]\]

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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