Question: Please state any theorems you are using. Question 2: Let a, b E R such that a * b. Consider the following n x n

Please state any theorems you are using.

Question 2: Let a, b E R such that a * b. Consider the following n x n matrix, with diagonal entries equal to a and all other entries equal to b: abb ... bb bab ... bb b ba ... bb An = . . . . . . bbb ... a b b bb ... b a 1. Compute detAn. 2. Write the expression of the associted quadratic form. 3. Suppose a, b > 0. Determine whether the associated quadratic form is negative or positive (semi) definite

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