Let A=[\table i , -i ; -i , i], i=\sqrt{-1}. Then, the system of linear equations A^{8}[\table x ; y]=[\table 8 ; 64] has [16 Mar 2021 Shift 1]

Correct Answer is : no solution

JEE Main 16 March 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 66 of 90

Marks: +1, -0

Let A=[

i	−i
−i	i

],i=√−1. Then, the system of linear equations A8[

]=[

] has

[16 Mar 2021 Shift 1]

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i2+i2	−i2−i2
−i2−i2	i2+i2

4+4	−4−4
−4−4	4+4

64+64	−64−64
−64−64	64+64

128	−128
−128	128

128	−128
−128	128

−2	2
2	−2

−2	2
2	−2

−2	2
2	−2

8	−8
−8	8