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Let x=[(2, 1),(0, 3)] be a matrix. If X^...

Let `x=[(2, 1),(0, 3)]` be a matrix. If `X^(6)=[(a, b),(c,d)]`, then the number of divisors of `(a+b+2020c+d)` is equal to

A

7

B

14

C

21

D

28

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The correct Answer is:
B
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Consider the system of linear equations , a_(1)x+b_(1)y+c_(1)z+d_(1)=0 , a_(2)x+b_(2)y+c_(2)z+d_(2)=0 , a_(3)x+b_(3)y+c_(3)2+d_(3)=0 Let us denote by Delta(a,b,c) the determinant |[a_(1),b_(1),c_(1)],[a_(2),b_(2),c_(2)],[a_(3),b_(2),c_(3)]| if Delta(a,b,c)!=0, then the value of x in the unique solution of the above equations is

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