设`\n`阶方阵`\A`满足`\|A| = 2`，则`\|A^TA| = ,|A^{ - 1}| = ,| A^ ** | = ,| (A^ ** )^ ** | = ,|(A^ ** )^{ - 1} + A| = ,| A^{ - 1}(A^ ** + A^{ - 1})A| = `分别等于（ ） A: \[4,\frac{1}{2},{2^{n - 1}},{2^{{{(n - 1)}^2}}},2{(\frac{3}{2})^n},\frac{{{3^n}}}{2}\] B: \[2,\frac{1}{2},{2^{n - 1}},{2^{{{(n + 1)}^2}}},2{(\frac{3}{2})^n},\frac{{{3^n}}}{2}\] C: \[4,\frac{1}{2},{2^{n + 1}},{2^{{{(n - 1)}^2}}},2{(\frac{3}{2})^{n - 1}},\frac{{{3^n}}}{2}\] D: \[2,\frac{1}{2},{2^{n - 1}},{2^{{{(n - 1)}^2}}},2{(\frac{3}{2})^{n - 1}},\frac{{{3^n}}}{2}\]

\( {1 \over {1 + x}} \)的麦克劳林公式为（ ）. A: \( {1 \over {1 + x}} = 1 + x + { { {x^2}} \over 2} + \cdots + { { {x^n}} \over {n!}} + o\left( { { x^n}} \right) \) B: \( {1 \over {1 + x}} = 1 + x + {x^2} + \cdots + {x^n} + o\left( { { x^n}} \right) \) C: \( {1 \over {1 + x}} = 1 - x + {x^2} - \cdots + {( - 1)^n}{x^n} + o\left( { { x^n}} \right) \)

设\( A \) 为 \( n \)阶方阵且 \( \left| A \right| \ne 0 \)，则 \( {(2A)^{ - 1}} = \)（ ) A: \( {1 \over 2}{A^{ - 1}} \) B: \( {2^{n - 1}}{A^{ - 1}} \) C: \( {2^n}{A^{ - 1}} \) D: \( 2{A^{ - 1}} \)

排列\( n(n - 1)(n - 2) \cdots 3 \cdot 2 \cdot 1 \)的逆序数是（ ） A: \( {1 \over 2}n(n - 1) \) B: \( n(n - 1) \) C: \( n \) D: \( {n^2}(n - 1) \)

设有如下事件过程：Private Sub Command1_Click() ch = "ABCDEFG" n = Len(ch) k = 1 Do Print Mid(ch, k, 1); Mid(ch, n, 1); k = k + 1 n = n - 1 Loop Until k > nEnd Sub运行此过程所产生的输出是 A: AGBFCEDD B: AGBFCED C: GFEDCBA D: GAFBECD