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Let A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C...

Let `A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C=[(-2,5),(3,4)]`
Find each of the following:
`(i) A+B (ii) A-B (iii) 3A-C (iv) AB (v) BA`

Text Solution

Verified by Experts

The correct Answer is:
`(i) A+B=[(3,7),(1,7)] (ii) A-B=[(1,1),(5,-3)]`
`(iii) 3A-C=[(8,7),(6,2)] (iv) AB=[(-6,26),(-1,19)] (v) BA=[(11,10),(11,2)]`
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Knowledge Check

  • 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
    `[(19,-25),(-15,64)]`
    D
    `[(0,2),(1,0)]`
  • If A=[(1,2),(2,5)],B=[(4,3),(0,2)] and 2A+C=B then C =

    A
    `((6,7),(4,12))`
    B
    `((2,-1),(-4,-8))`
    C
    `((3,-1),(-4,-8))`
    D
    `((-6,-7),(-4,-12))`
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