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Let A A=[{:(0,1),(0,0):}] , show that (a...

Let A `A=[{:(0,1),(0,0):}]` , show that `(aI+bA)^(n)=a^(n)I+na^(n-1)bA`, where I is the identity matrix of order 2 and `n in N`.

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Knowledge Check

  • If A=[{:(i,0),(0,i):}], n inN then A^(4n)= ...... (where I is imaginary complex number and i^(2)=-1)

    A
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    B
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    D
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