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Only answer (2), (3), (4)Recall your Calculus 4A class. Let

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(2)·By definition of ~ we have [I]~-{B E R2x21AB = 1 Λ det(B) > 0, f A e R2x2) Therefore, Iis the set of all invertible 2 x 2 matrices with positive of some determinant -1 0 (3). Yes. Since AA-1- I and det(A) 0 where A- (4). B/~has only two distinct members namely [/ ,and E] and Ei 0 where 1[l o

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Answer 1

(2)·By definition of ~ we have [I]~-{B E R2x21AB = 1 Λ det(B) > 0, f A e R2x2) Therefore, Iis the set of all invertible 2 x 2 matrices with positive of some determinant -1 0 (3). Yes. Since AA-1- I and det(A) 0 where A- (4). B/~has only two distinct members namely [/ ,and E] and Ei 0 where 1[l o