Maths-

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Easy

Question

# Let A =. If U_{1}, U_{2}, U_{3} are column matrices satisfying AU_{1} = , AU_{2} = , AU_{3} = and U is 3 × 3 matrix whose columns are U_{1}, U_{2} and U_{3}. Then |U| =

- 3
- 3/2
- –3
- 2

## The correct answer is: 3

### U_{1} = , U_{2} = , U_{3} =

A. U_{1} = =

= =

a_{1} = 1, b_{1} = –2, c_{1} = 1

U_{1} =

Similarly U_{2} = & U_{3} =

U = |U| = 3

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