Matrices & Determinants
General
Grade 12

Question:

$(I + A)^{100} =$
100A
100(I + A)
100I + A
I + 100A

Step-by-Step Solution

Key Concept: General
$(I + A)^{100} = ^{100}C_0 I^{100} + ^{100}C_1 I^{99}A + ^{100}C_2 I^{98}A^2 + \dots + ^{100}C_{100}A^{100} = I + 100A + O + O + \dots + O = I + 100A$
Correct Answer: D

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