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I: If A=[(0,1,2),(2,3,4),(4,5,-6)],B=[(-...

I: If `A=[(0,1,2),(2,3,4),(4,5,-6)],B=[(-1,2,3),(0,1,0),(0,0,-1)]` then `4A-5B=[(5,-6,-7),(8,7,16),(16,20,-19)]`
II:If `A=[(1,2,3),(3,2,1)]B=[(3,2,1),(1,2,3)]` then `3B-2A=[(7,2,-3),(-3,2,7)]`

A

only I is true

B

only Ii is true

C

both I and II are true

D

neither I nor II true

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If A=[(1,2,3),(2,0,-1),(0,2,-2)],B=[(1,0,0),(0,-1,0),(-1,0,2)] then 4A-3B=

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    `[(1,-6,9),(6,4,3),(4,6,-14)]`
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    `[(-1,6,9),(6,4,-3),(4,6,14)]`
  • If A=[(1,-2,3),(-4,2,5)],B=[(1,3),(-1,0),(2,4)] then 2A+3B'=

    A
    `[(5,-7,12),(1,4,22)]`
    B
    `[(1,-17),(1,-4),(0,2)]`
    C
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    `[(1,0,5),(0,1,1)]`
    B
    `[(8,1,6),(-9,-2,5)]`
    C
    `[(-1,0,5),(0,1,1)]`
    D
    `[(-8,1,6),(9,-2,5)]`
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