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If [[1,2],[2,1]][[x],[y]]=[[5],[4]], the...

If `[[1,2],[2,1]][[x],[y]]=[[5],[4]]`, then value of y is ____.

Text Solution

Verified by Experts

The correct Answer is:
`y=2`
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Knowledge Check

  • If the matrices [(3x+7,5),(y+1,2-3x)]=[(5,y-2),(8,4)] , then the values of x and y are :

    A
    `x=-1/3,y=7`
    B
    `x=-1/3,y=-2/3`
    C
    `x=-2/3,y=7`
    D
    `x=5,y=-2/3`.
  • If [(2,-1),(3,4)][(5,2),(7,4)]=[(3,x),(y,22)] . Then the value of x + y is:

    A
    0
    B
    43
    C
    71
    D
    25
  • cos^(-1)x-cos^(-1)(y/2)=alpha,x in[-1,1],y in[-2,2] then the value of 4x^(2)-4xy cos alpha+y^(2) is

    A
    `4sin^(2)alpha`
    B
    `2sin^(2)alpha`
    C
    `4cos^(2)alpha`
    D
    `2cos^(2)cos^(2)alpha`
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