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If A = [{:(0,1,2),(1,2,3),(2,3,4):}] and...

If `A = [{:(0,1,2),(1,2,3),(2,3,4):}] and B=[{:(1,-2),(-1,0),(2,-1):}]` obtain the product AB and explain why BA is not defined?

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To find the product of matrices \( A \) and \( B \), we first need to define the matrices clearly: \[ A = \begin{pmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 4 \end{pmatrix}, \quad ...
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Knowledge Check

  • If A = [(0,1,I2),(1,2,3),(2,3,4)] and B = [(1,-2),(-1,0),(2,-1)] , then AB is

    A
    `[(3,-2),(5,-5),(7,-8)]`
    B
    `[(3,5,7),(-2,-5,-8)]`
    C
    `[(1,2),(3,4),(5,6)]`
    D
    None

  • If A = [(0,1,2),(1,2,3),(2,3,4)] and B = [(1,-2),(-1,0),(2,-1)] then which of the following is defined ?

    A
    AB
    B
    BA
    C
    both (A) and (B)
    D
    None of these

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    if A=[{:(3,-1,2),(0,5,-3),(1,-2,7):}]and B=[{:(1,0,0),(0,1,0),(0,0,1):}], find whether AB=BA or Not .

    if A=[{:(4,0,-3),(1,2,0):}]and B=[{:(2,1),(1,-2),(3,4):}]' then find AB and BA.

    If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] , then verify AB = BA or not?

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