(Solution) - For each of the nonsingular matrices in Exercise 1 5 24 use -(2025 Original AI-Free Solution)

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For each of the nonsingular matrices in Exercise 1.5.24, use your computed inverse to solve the associated linear system A x = b, where b is the column vector of the appropriate size that has all 1's as its entries.
Exercise 1.5.24
Find the inverse of each of the following matrices, if possible, by applying the Gauss-Jordan Method.
(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)