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Question

For any 2 × 2 matrix, if A adj A=100010, then |A| is equal to
(a) 20
(c) 100
(d) 10
(d) 0

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Solution

(c) 10Aadj A=10 00 10By definition, we have Aadj A=AI=adj AA (Where I is the identity matrix)AI = Aadj AAI =101 00 1A=10

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