二、線性代數部分： Let A = bmatrix 1 & 1 \ 0 & 1 bmatrix. Find A^2, A^3, A^n. (8%)

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%]

二、線性代數部分：

Let \( A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix} \). Find \( A^2, A^3, A^n \). (8%)

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二、線性代數部分： Let \( A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix} \). Find \( A^2, A^3, A^n \). (8%)

相關申論題

相關試卷

二、線性代數部分：

Let \( A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix} \). Find \( A^2, A^3, A^n \). (8%)