A=[−43−11]
⇒A2=[−43−11][−43−11]=[13−93−2]
and ∣A∣=−1
Now, A2016−2A2015−A2014=A2014(A2−2A−I)
⇒∣A2016−2A2015−A2014∣=∣A2014∣∣A2−2A−I∣
A2−2A−I=[20−155−5]
=∣A∣2014∣20−155−5∣
=−25
JEE Main 2016 — Mathematics Algebra
If A=[−43−11] , then the determinant of the matrix (A2016−2A2015−A2014) is :
Held on 10 Apr 2016 · Verified 6 Jul 2026.
−175
2014
2016
−25
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