InterviewSolution
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InterviewSolution
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Match the following lists : A. `{:(a,b,c,d),(s,r,q,p):}`B. `{:(a,b,c,d),(s,p,q,r):}`C. `{:(a,b,c,d),(q,p,s,r):}`D. `{:(a,b,c,d),(s,q,r,p):}` |
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Answer» Correct Answer - C a. `|M_(r)|=1/(r-1)-1/r` `lim_(n rarr oo) sum_(r=2)^(n) (1/(r-1)-1/r)` `=lim_(n rarr oo) [(1/1-1/2)+(1/2-1/3)+...+(1/(n-1)-1/n)]` `=1-0=1` b. `(A+B)^(2)=A^(2)+B^(2)` `implies AB+BA=O` `implies AB=-BA` `implies |AB|=|-BA|` `implies |A||B|=-|B||A|" "` [A and B are odd orderes matrices] `implies |B|=-|B| (|A|=2)` `implies |B|=0` c. `k^(2)=|C|=("det. A")^(2)=^(2) implies k=4` d. `A^(4)=-4I implies lambda =4` |
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