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A=[[1,1],[0,1]] and B=[[b(1),b(2)],[b(3)...

`A=[[1,1],[0,1]]` and `B=[[b_(1),b_(2)],[b_(3),b_(4)]]` are two matrices such that ,`10(A^(10))+adj(A^(10))=B` .What is the value of `sum_(k=1)^(4)b_(k) ?`

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Knowledge Check

  • Let A = [(1,1),(0,1)] and B = [(b_(1),b_(2)),(b_(3),b_(4))] . If 10 A^(10) +Adj (A^(10)) = B then b_(1)+b_(2)+b_(3)+b_(4) is equal to :

    A
    91
    B
    92
    C
    111
    D
    112

  • A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) , then k is

    A
    `1001`
    B
    `1023`
    C
    `1042`
    D
    none of these

  • Let a=[(1,-1),(2, -1)] and B=[(a,1),(b,-1)] are two matrices. If (A+B)^(2)=A^(2)+B^(2) , then the value of 3a+4b is equal to

    A
    15
    B
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