Let a be a matrix of order `2xx2` such that `A^(2)=O`. `(I+A)^(100) =`

Let a be a matrix of order `2xx2` such that `A^(2)=O`.
`(I+A)^(100) =`
A. 100 A
B. `100 (I+A)`
C. `100 I+A`
D. `I+100 A`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - D
`(I+A)^(100)= .^(100)C_(0)I^(100)+.^(100)C_(1)I^(99)A+.^(100)C_(2)I^(98) A^(2)+ +.^(100)C_(100)A^(100)`
`=I+100 A+O+O+ +O`
`=I+100 A`

4 views Answered 2023-02-05 15:29

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