Suppose we define a function of a matrix to be the maximum, Basic Computer Science

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Suppose we define a function of a matrix to be the maximum

1. What is an induced matrix norm?

2. What is the spectral radius of a matrix? Is it a norm?

3. Suppose we define a function of a matrix to be the maximum absolute value among all its entries. Is it a norm? If not, give a counterexample.

4. Is it true that every symmetric positive definite matrix is necessarily nonsingular?

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Basic Computer Science: Suppose we define a function of a matrix to be the maximum

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Basic Computer Science: Suppose we define a function of a matrix to be the maximum

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