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Question

If A=[3x01] and B=[9160y], find x and y when A2=B.
 


  1. x = 4 and y = −1

  2. x = −4 and y = −1

  3. x = 4 and y = 1

  4. x = 4 and y = 2


Solution

The correct option is A

x = 4 and y = −1


Given, A=[3x01] and B=[9160y]
Also, A2=B
A.A=B
[3x01][3x01]=[9160y][94x01]=[9160y]
By comparing the corresponding elements
4x=16 and 1=y
x=4 and y=1

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