beta_1 = alpha_1, beta_2 = alpha_1 + alpha_2, beta_3 = alpha_1 + alpha_2 + alpha_3, 记A = [alpha_1, alpha_2, alpha_3], B = [beta_1, beta_2, beta_3], 则B=AC，那么矩阵C为

$\beta_1 = \alpha_1$, $\beta_2 = \alpha_1 + \alpha_2$, $\beta_3 = \alpha_1 + \alpha_2 + \alpha_3$, 记A = $[\alpha_1, \alpha_2, \alpha_3]$, B = $[\beta_1, \beta_2, \beta_3]$, 则B=AC，那么矩阵C为

  • A. $\begin{bmatrix} 1 & 0 & 0 \\ 1 & 1 & 0 \\ 1 & 1 & 1 \end{bmatrix}$,
  • B. $\begin{bmatrix} 1 & 1 & 1 \\ 0 & 0 & 1 \\ 0 & 0 & 1 \end{bmatrix}$,
  • C. $\begin{bmatrix} 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 1 \end{bmatrix}$,
  • D. $\begin{bmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$.

参考答案与解析：

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