Question: 6. a) Suppose matrix A is the following product: [1 0 0 1 0 0 51 A = 2 1 0 2 1 0

6. a) Suppose matrix A is the following product: [1 0 0 1 0 0 51 A = 2 1 0 2 1 0

6. a) Suppose matrix A is the following product: [1 0 0 1 0 0 51 A = 2 1 0 2 1 0 0 3 1 1 3 1 1 0 For what values of t (if any) are there solutions to Ax = (1, 1, t)? 12 (CO2) (POI) b) Find the conditions on a and b that make the matrix A invertible, and find A-1 when it exists: a b b] Aa a b La a al 12 (CO1) (POI)

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