# Choose the correct alternative. If A is a 2 x 2 matrix such that A(adj. A) = [5005], then |A| = _______ - Mathematics and Statistics

MCQ

Choose the correct alternative.

If A is a 2 x 2 matrix such that A(adj. A) = [(5, 0),(0, 5)], then |A| = _______

• 0

• 5

• 10

• 25

#### Solution

5

Explanation:

A(adj A) = [(5, 0),(0, 5)] = 5[(1, 0),(0, 1)]

∴  |A| = 5.

Concept: Inverse of Matrix
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