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For what real value of y will matrix A be equal to matrix B, where



  • a)
    11, 3

  • b)
    No real value

  • c)
    1/3, 1/2

  • d)
    2 and 3

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
For what real value of y will matrix A be equal to matrix B, where a)1...
⇒ y2 - 4y = -3
⇒ y2 - 4y + 3 = 0
⇒ y2 -3y - y +3 = 0
⇒ y (y - 3) -1 (y-3) = 0
⇒(y - 1) (y - 3) = 0
⇒ y = 1,3
But these are not real numbers.
We have another equation:
⇒ 5y = 6y2 + 1
⇒ 6y2 -5y +1 = 0
⇒ 6y2 -3y - 2y + 1 = 0
⇒ 3y (2y - 1) - 1 (2y - 1) = 0
⇒ (3y - 1) (2y - 1) = 0
⇒ y = 1/2, 1/3
Hence value of y is 1/2, 1/3
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For what real value of y will matrix A be equal to matrix B, where a)1...
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Community Answer
For what real value of y will matrix A be equal to matrix B, where a)1...
As both matrix are eaual given so each element are equal y^2-4y=-3
y^2 -3y-y+3=0
y(y-3)-1(y-3)=0
y-1=0, y-3=0
y=1,3 similarly on solving other quadratic equation on y we get
y=1/3,1/2
no common value so no real value
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