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Question

Statement 1: If B1=0678910111213 and A=5678910111213,then (AB)1does not existStatement 2 : Since |A|=0,(AB)1=B1A1 is meaningless.

A
Both statement 1 and statement 2 are true and statement 2 is the correct explaination of statement 1.
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B
Both statement 1 and statement 2 are true but statement 2 is not the correct explaination of statement 1.
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C
Statement 1 is true but statement 2 is false.
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D
Statement 2 is true but statement 1 is false.
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Solution

The correct option is A Both statement 1 and statement 2 are true and statement 2 is the correct explaination of statement 1.
Statement 1:|A|=∣ ∣5678910111213∣ ∣
Perfoming row operations as follows: R3R3R2
|A|=∣ ∣5678910333∣ ∣
Now R2R2R1
|A|=∣ ∣567333333∣ ∣=0
So A1 doesn't exist.

We know that (AB)1=B1A1As A1 doesn't exists, (AB)1 doesn't exists.Statement 2 is also true

Hence both statements are true and statement 2 is correct explanation of statement 1.

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