If A is a diagonal matrix diag d1 - d2 - - dn then An - n - R is diag dn1 - dn2 -dnn

Let A= [ d_1 amp; 0 amp; 0; 0 amp; d_2 amp; 0; 0 amp; 0 amp; d_3 ] A^2 = A · A [ d^2_1 amp; 0 amp; 0; ...

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Diagonal Matrix

If A is a dia...

Question

If A is a diagonal matrix diag $(d_{1}, d_{2}, . . . . . . d_{n})$ then $A^{n}, n ϵ R i s d i a g (d_{1}^{n}, d_{2}^{n} . . . . . d_{n}^{n})$

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Similar questions

D = d i a g [d_{1}, d_{2}, . . . ., d_{n}]

D^{- 1} = d i a g [d_{1}^{- 1}, d_{2}^{- 1} . . . . ., d_{n}^{- 1}]

D = d i a g [d_{1}, d_{2}, . . . . . . d_{n}],

D^{n} = d i a g [d_{1}^{n}, d_{2}^{n} . . . . . ., d_{n}^{n}] .

[d_{1}, d_{2}, d_{3}]

a^{n}

(d_{1}, d_{2}, . . ., d_{n}) with d_{1} \geq d_{2}, . . . \geq d_{n}

d_{1}, d_{2}, . . ., d_{n}

1, d_{1}, d_{2}, d_{3} \dots, d_{n - 1}

n^{t h}

D_{1}

D_{2}

3 \times 3

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