(a) If a matrix is positive and invertible, must its inverse also be positive? Explain. (b)...

 

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(a) If a matrix is positive and invertible, must its inverse also be positive? Explain. (b) Is there an example of a positive matrix which doesn't have all positive entries? a 1 (c) For which values of a is the matrix 1 0 0 positive? 100 (a) If a matrix is positive and invertible, must its inverse also be positive? Explain. (b) Is there an example of a positive matrix which doesn't have all positive entries? a 1 (c) For which values of a is the matrix 1 0 0 positive? 100