- #1

rainwyz0706

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## Homework Statement

1.Prove that if A is a real matrix then At A is diagonalisable.

2. Given a known 3*3 matrix A, Calculate the maximum and minimum values of ||Ax|| on the sphere ||x|| = 1.

## Homework Equations

## The Attempt at a Solution

For the first problem, I'm thinking of proving that AtA is symmetric, but I'm not sure which properties to use.

For the second one, is X a 3*n matrix? Do I need to discuss n?

Any help is greatly appreciated!