1 C: An example of diagonalisation: Let T be the operator of C3 with matrix M = 0 0 2) Find the matrix of T in the basis (e₁, €2, €3). 1+i 2i 1 2 i 0 -i
1 C: An example of diagonalisation: Let T be the operator of C3 with matrix M = 0 0 2) Find the matrix of T in the basis (e₁, €2, €3). 1+i 2i 1 2 i 0 -i
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**C: An Example of Diagonalisation**
Let \( T \) be the operator of \( \mathbb{C}^3 \) with matrix
\[
M = \begin{pmatrix}
1 & 2 & 1+i \\
0 & i & 2i-1 \\
0 & 0 & -i
\end{pmatrix}.
\]
2) Find the matrix of \( T \) in the basis \( (e_1, e_2, e_3) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a741e2-1f18-40f1-9eda-db0ce81998cf%2F9b277175-0175-4512-8d3c-6316c89b6e27%2F6829ujj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**C: An Example of Diagonalisation**
Let \( T \) be the operator of \( \mathbb{C}^3 \) with matrix
\[
M = \begin{pmatrix}
1 & 2 & 1+i \\
0 & i & 2i-1 \\
0 & 0 & -i
\end{pmatrix}.
\]
2) Find the matrix of \( T \) in the basis \( (e_1, e_2, e_3) \).
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