3. Find the dimension and a basis of the solution space W of the system (10%) aligned x + 2y + z - 3t &= 0 \ 2x + 4y + 4z - t &= 0 \ 3x + 6y + 7z + t &= 0 aligned

8. Let the probabilities for characters A, B, C, D, E, F to appear in acharacter string be \( \frac{5}{54} \), \( \frac{6}{54} \), \( \frac{7}{54} \), \( \frac{9}{54} \), \( \frac{10}{54} \), and \( \frac{17}{54} \)respectively. Findbinary codes for these characters such that when a characterstring of these characters is represented by your code the binarystring will be of minimal length. Is 010101010101010 a binarystring corresponding to a character string in your code? Describehow do you find the character string of a binary string in yourcode? [10%]

3.

Find the dimension and a basis of the solution space \( W \) of the system (10%)

\[ \begin{aligned} x + 2y + z - 3t &= 0 \\ 2x + 4y + 4z - t &= 0 \\ 3x + 6y + 7z + t &= 0 \end{aligned} \]

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3. Find the dimension and a basis of the solution space \( W \) of the system (10%) \[ \begin{aligned} x + 2y + z - 3t &= 0 \\ 2x + 4y + 4z - t &= 0 \\ 3x + 6y + 7z + t &= 0 \end{aligned} \]

相關申論題

相關試卷

3.

Find the dimension and a basis of the solution space \( W \) of the system (10%)

\[ \begin{aligned} x + 2y + z - 3t &= 0 \\ 2x + 4y + 4z - t &= 0 \\ 3x + 6y + 7z + t &= 0 \end{aligned} \]