Skip to main content\(\newcommand{\identity}{\mathrm{id}}
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Reading Questions 12.3 Reading Questions
1.
What is a nonsingular matrix? Give an example of a \(2 \times 2\) nonsingular matrix. How do you know your example is nonsingular?
2.
What is an isometry in \(\mathbb R^n\text{?}\) Can you give an example of an isometry in \(\mathbb R^2\text{?}\)
3.
What is an orthonormal set of vectors?
4.
What is the difference between the orthogonal group and the special orthogonal group?
5.
What is a lattice?
