The notation ak meas the matrix a multiplied with itself k times (a) for the n×n diagonal matrices d having enteries dii, tha d2 is also diagonal with enteries dii(b)for the n×n diagonal matrices d what do you think the enteries of dk are?

Step-by-step explanation:

Let A and B be a diagonal matrices.

C=AB is a diagonal matrix. With cii=(aii)(bii) entries.

Then, if D is a diagonal matrix we have:

D2 is a diagonal matrix with entries d2ii=(dii)(dii)=(dii)^2

D3 is a diagonal matrix with entries d3ii=(dii)(dii)(dii)=(dii)^3

....

Dk is a diagonal matrix with entries dkii=(dii)^k

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years