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Determine the value(s) of real numbers r and t such that each of the following identities holds in R4. (a) [1 1+2 3 -6]

Determine the value(s) of real numbers r and t such that each of the following identities holds in R4. (a) [1 1+2 3 -6] =3[r -1 1 -2] (b) + 3 2 1+1 6 3 1+2 For an integer n>0, express the vector 11 as a scalar product of an integer and a vector in R" with integral entries. 2

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