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12.3: Reading Questions

Last updated

Sep 29, 2021
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- 12.2: Symmetry
- 12.4: Exercises

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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?

1

2

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5

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