Matrices and Determinants Part 2

Section: Mathematics
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Question : 15 of 100
 
Marks: +1, -0
Let X=[
010
001
000
]
,Y=αI+βX+γX2
and Z=α2I−αβX+(β2−αγ)X2,α,β,γ∈R.
If Y−1=[
‌
1
5
‌
−2
5
‌
1
5
0‌
1
5
‌
−2
5
00‌
1
5
]
, then (α−β+γ)2 is equal to___
[26-Jun-2022-Shift-2]
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