If A=[\table k ,l ; m ,n ] and k \.n \\neql m, then the value ofA^{2}-(k+n) A+(k n-l m) I equals

Correct Answer is : The zero matrix of order 2×2

The zero matrix of order 2 \\times 2

2 A where l is the identify matrix of order 2 \\times2.

AMU Engineering 2018 solved paper Solved Paper

Section: Mathematics

Question : 150 of 150

Marks: +1, -0

If A=[

k	l
m	n

] and k.n≠lm, then the value ofA2−(k+n)A+(kn−lm)I equals

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k2+lm	kl+ln
km+mn	lm+n2

k2+kn	kl+ln
km+mn	kn+n2

k2+lm	kl+ln
km+mn	lm+n2

k2+kn	kl+ln
km+mn	kn+n2

kn−ml	0
0	kn−ml

kn−ml	0
0	kn−ml