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Use matrix product [(1,-1,2),(0,2,-3),(3...

Use matrix product `[(1,-1,2),(0,2,-3),(3,-2,4)] [(-2,0,1),(9,2,-3),(6,1,-2)]` to solve the system of equation
`x-y+2z=1`
`2y-3z=1` and `3x-2y +4z=2`

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Determine the product of A=[(-4,4,4),(-7,1,3),(5,-3,-1):}][(1,-1,1),(1,-2,-2),(2,1,3):}] and then use to solve the system of equations x-y+z=4, x-2y-2z=9 and 2x+y+3z=1

Answer any one question (a) Determine the product [{:(-4,4,4),(7,1,3),(5,-3,-1):}][{:(1,-1,1),(1,-2,-2),(2,1,3):}] and use it to solve the following system of equations x-y+z=4, x-2y -2z = 9, 2x + y + 3z =1 .

Knowledge Check

  • The system of equations x+2y+3z=4 2x+3y+4z=5 3x+4y+5z=6 has

    A
    infinitely many solutions
    B
    no solution
    C
    a unique solution
    D
    none of the above

  • The system of equations x+2y+3z=4 2x+3y+4z=5 3x+4y+5z=6 has

    A
    infinitely many solutions
    B
    no solution
    C
    a unique solution
    D
    none

    • Similar Questions

    Explore conceptually related problems

    Answer any one question (a) Determine the product [{:(-4,4,4),(7,1,3),(5,-3,-1):}][{:(1,-1,1),(1,-2,-2),(2,1,3):}] and use it to solve the following system of equations x-y+z=4, x-2y -2z = 9, 2x + y + 3z =1 .

    IF A=[(1,-2,0),(2,1,3),(0,-2,1):}]and B=[(7,2,-6),(-2,1,-3),(-4,2,5):}] then find AB and hence solve system of equations x-2y=10,2x+y+3z=8 and -2y+z=7

    Find A^-1 where A=[(1,2,-3),(2,3,2),(3,-3,-4):}] Hence solve the system of equations x+2y-3z=-4,2x+3y+2z=2 and 3x-3y-4z=11

    IF A=[(1,2,1),(-1,1,1),(1,-3,1):}] then find A^-1 and hence solve the system of equations x+2y+z=4, -x+y+z=0 and x-3y+z=4

    Suppse A=[(2,2,-4),(-4,2,-4),(2,-1,5):}]and B=[(1,-1,0),(2,3,4),(0,1,2):}] Then find BA and use this to solve the system of equations y+2z=7,x-y=3 and 2x+3+4z=17

    If A=[{:(2,-3,5),(3,2,-4),(1,1,-2):}] , find A^(-1) . Using A^(-1) solve the following system of equations 2x-3y+5z=16 , 3x+2y-4z=-4 , x+y-2z=-3 .

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