Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2016 • Question 3

Question

Math 6310 • Algebra Spring 2016 • Question 3

Write down the rational and Jordan canonical forms of the following matrix (viewed over \(\mathbb {C}\)): \[ \begin {bmatrix} 1 & 0 & 0 & 0\\ 0 & 1 & 0 & 0\\ -2 & -2 & 0 & 1\\ -2 & 0 & -1 & -2 \end {bmatrix} \]

Raw LaTeX

Write down the rational and Jordan canonical forms of the following matrix (viewed over
\(\mathbb{C}\)):
\[
\begin{bmatrix}
1 & 0 & 0 & 0\\
0 & 1 & 0 & 0\\
-2 & -2 & 0 & 1\\
-2 & 0 & -1 & -2
\end{bmatrix}
\]

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization