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If A=({:(1,2),(2,3):})and B=({:(1,0),(1,...

If `A=({:(1,2),(2,3):})and B=({:(1,0),(1,0):})` then what is determinant of AB ?

A

0

B

1

C

10

D

20

Text Solution

Verified by Experts

The correct Answer is:
A

Let `A = [{:(1,2),(2,3):}]and B = [{:(1,0),(1,0):}]`
`AB=[{:(1,2),(2,3):}][{:(1,0),(1,0):}]rArr AB = [{:(3,0),(5,0):}]`
So, `|AB|=0" "(because "one column is zero")`
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