InterviewSolution
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InterviewSolution
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If `A=[{:(1,-1),(2,-1):}],B=[{:(a,-1),(b,-1):}]" and "(A+B)^(2)=(A^(2)+B^(2))` then find the values of a and b.A. a=2,b=-3B. a=-2,b=3C. a=1,b=4D. none of these |
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Answer» Correct Answer - C `(A+B)^2=(A^2+B^2) iff A^2+B^2+AB=(A^2+B^2) iff AB=-BA` `AB=-BA iff [(a-b,2),(2a-b,3)]=[(-a-2,a+1),(-b+2,b-1)]` `Now ,(a+1=2 and b-1=3) rArr (a=1 and b=4)` |
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