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Sophie [7]
3 years ago
5

729 (base 3) exponential expression

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

3^6

Step-by-step explanation:

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Answer:

(A)A and C

Step-by-step explanation:

In each case, represent each of the p_i as a column vector where  each row corresponds to the constant term, coefficient of t and t^2 respectively.

A= The set where p_1(t)=1 p_2(t)=t^2 p_3(t)=1+5t

A=\left[\begin{array}{ccc}1&0&1\\0&0&5\\0&1&0\end{array}\right]

|A|=\left|\begin{array}{ccc}1&0&1\\0&0&5\\0&1&0\end{array}\right|=-5

B: The set where p_1(t)=t, p_2(t)=t^2, p_3(t)=2t+5t^2

B=\left[\begin{array}{ccc}0&0&0\\1&0&2\\0&1&5\end{array}\right]\\|B|=0

C: The set where p_1(t)=1, p_2(t)=t^2, p_3(t)=1+5t+t^2

C=\left[\begin{array}{ccc}1&0&1\\0&0&5\\0&1&1\end{array}\right]\\|C|=-5

Since the determinants of A and C are not 0, the set of vectors in A and C are linearly independent.



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Step-by-step explanation:

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