Questions
If
and then the values of and are
a
a=4,b=1
b
a=1,b=4
c
a=0,b=4
d
a=2,b=4
detailed solution
Correct option is B
We have, A+B=a+1 0b+2 −2 A2=1−12−11−12−1=−100−1B2=a1b−1a1b−1=a2+ba−1ab−bb+1(A+B)2=a+10b+2−2a+10b+2−2=(a+1)20(a−1)(b+2)4∴(A+B)2=A2+B2⇒(a+1)20(a−1)(b+2)4=−100−1+a2+ba−1ab−bb+1⇒(a+1)20(a−1)(b+2)4=a2+b−1a−1ab−bb⇒a−1=0,b=4,(a+1)2=a2+b−1,(a−1)(b+2)=ab−b ⇒ a=1 and b=4Talk to our academic expert!
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