How to solve this?We have $M_2(ZZ_3)$ second order matrix set with elements of $ZZ_3$ .Determine the number of elements of the set $M_2(ZZ_3)$ .

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Answer 1 · 2017-08-13T16:48:00

$81$

Each element of $M_2(ZZ_3)$ has $2*2=4$ entries taken from $ZZ_3 = { 0, 1, 2 }$ .

There is no restriction on combinations of entries, so there are a total of:

$3^4 = 81$

matrices in $M_2(ZZ_3)$ .

How to solve this?We have M_2(ZZ_3)M_2(ZZ_3)second order matrix set with elements of ZZ_3ZZ_3.Determine the number of elements of the setM_2(ZZ_3)M_2(ZZ_3).