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For what values of x and y are the follo...

For what values of x and y are the following matrices equal `A=[(2x+1,3y),(0,y^2-5y)] B= [(x+3,y^2+2),(0,-6)] `

Text Solution

Verified by Experts

With the given matrices we have,
`2x+1 = x+3 => x = 2`
`3y = y^2+2 =>y^2-3y+2 = 0`
`=>y^2-2y-y+2 = 0`
`=>y(y-2)-1(y-2) = 0`
`=> (y- 2)(y-1) = 0`
`=>y = 2 and y = 1`
`y^2-5y = -6`
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