Question: 11. (*) Suppose a1, a2, b1, b2, C1, C2, d1, d2 E R. When is 0 a1 b1 0 0 C1 d1 A = 0

11. (*) Suppose a1, a2, b1, b2, C1, C2, d1, d2 E R. When is 0 a1 b1 0 0 C1 d1 A = 0 a2 b2 0 O O C2 d2 invertible? Find a formula for A- when A is invertible. 12. (*) Suppose a1, a2, a3, b1, b2, b3, C1, C2, C3 E R are all positive. Give a direct geometric argument to compute the volume of the parallelepiped with edges a 1 a3 02 . [8] a1 b1 C1 a2 62 and confirm that it is equal to the absolute value of det a3 b3 C3

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