If A = diag (d 1 , d 2 , d 3 , ........ d n ), then A n is equal to

Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants

1. diag \(\left(\mathrm{d}_{1}^{\mathrm{n}-1}, \mathrm{~d}_{2}^{\mathrm{n}-1}, \mathrm{~d}_{3}^{\mathrm{n}-1}, \ldots . \mathrm{d}_{\mathrm{n}}^{\mathrm{n}-1}\right)\)
2. diag \(\left(\mathrm{d}_{1}^{\mathrm{n}}, \mathrm{~d}_{2}^{\mathrm{n}}, \mathrm{~d}_{3}^{\mathrm{n}}, \ldots \mathrm{~d}_{\mathrm{n}}^{\mathrm{n}}\right)\)
3. A
4. none of these

Answer

(B) diag ( d _ 1 ^ n , ~d _ 2 ^ n , ~d _ 3 ^ n , ~d _ n ^ n )

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