如果[tex=4.357x1.0]VanW/03J2cv35k1k0hvblQ==[/tex]，矩阵[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]就称为[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与可交换，设[tex=6.571x2.786]sSXBpxJWudVpH1R35o4LnAVLBQ/LjQTM9mCDWHIfd8X0WxsDxscdAR0/v5zAZc5DdJ8TCBQRvjSWiU4ntpEf3w==[/tex]求所有与 [tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]可交换的矩阵.

2022-06-09

如果[tex=4.357x1.0]VanW/03J2cv35k1k0hvblQ==[/tex]，矩阵[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]就称为[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与可交换，设[tex=6.571x2.786]sSXBpxJWudVpH1R35o4LnAVLBQ/LjQTM9mCDWHIfd8X0WxsDxscdAR0/v5zAZc5DdJ8TCBQRvjSWiU4ntpEf3w==[/tex]求所有与 [tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]可交换的矩阵.

答案：

若记[tex=8.357x2.786]GL5K1sfge6rTYylK0eVRCZxoSHUVwtJLK9zx3/B/iDmQvF/EVwiNvQa1xDOMyVpfR2mjIMRWa8Qtg+vmDoG3FMvEr4EzRDpU84aYpxW86qM=[/tex]并设 [tex=6.429x2.786]tAg4kjefm91yBdigy4ffjMg/37/dcpo911BlSo13TzMGhDIskLIl0YGtCWRLiHJvKNTa6eFp9S/CCADXj/V5aynfEd+zF+1bhu8ocKbnKBo=[/tex]与[tex=0.786x1.0]3UKvB+w607mbn/eWBx9vkQ==[/tex]可交换，即 [tex=25.786x2.786]vDpukna8P0UiKGz2/Wgck40N7uXp+DMD6zpPcVoldmFgvrmEo5s3pWHcPb5fIaNdriyWJOfwu53WW6nYnkUKpgylwFJT2zDhvmdvpsJ4gt7/fQtCnIhuFiTr2pFSkg0Ap03XpMUaMSnWFV9khM0ing5bH87JWfF4yG9K45Exc5lnZnH/5VXrTqW0cS9vt6oc20No3T8/cT/SdtJ/D/Gvpv2kHrTTYcGOd+QbOOjzyS0Do/YxWlGrBpecarRqY2MquqSNanaDuMVBH309qeSIU87VasfMPZgG+mnUwp7rh8spF05p+8wjEzYdM0GGEk4p12bImmvQUEzPxkbxyEAKTOOKTZpmuJzQA3M+vqhUXLY=[/tex]于是[tex=19.5x2.786]075gCzZzsMRb6HYXYk9X94/GsHMeh9Cmm6/IPHHtgzxBiT24cJHizrbYOZs3unju/EteKEf7I/sBRW9qUtoGBUzpHN+8Hac5eq0ctrrRinEMk4A7v+56wYSj/77sFV0tERGkKj8lOCYGUngMez/dttd4D9jszdluCNOh7BHk91cZ2AD/6zqblUVE8YzhZf/kpa96N8eKgcQ3Tt3Sas2q+qdbmT2EKanl7KdZlmqxJBwaSrjxmtYZxH2f6MDfy5tOqCtzY3M2iMohVSfXuDi2ekU6jn7V/eJwSPobjzrLE2HLcm+Dq+GxTWNDbb3Zx1IK[/tex]所以[tex=10.143x2.786]075gCzZzsMRb6HYXYk9X98FPyW9fpYZrw/owD7xlKmU/SUfwLo6/430fSWdXR7KMQRSCuXMVYQVnuo5KVHfmRCaPC65qL8a9sXcYqQNuqovI9/uWl8BirdBlIWHmZf9G9FKQgJgaoVRiM5Gj6CBJDs1lHYpCSnavvXRKLKIgsFo=[/tex]故[tex=4.857x1.214]PjIKFpBf+3Vl1Xgnn1GhpHiHjFUFVr9YGn+zmjW3OVg=[/tex]任意，从而所有与 [tex=0.786x1.0]3UKvB+w607mbn/eWBx9vkQ==[/tex]可交换的矩阵为[tex=6.286x2.786]tAg4kjefm91yBdigy4ffjMg/37/dcpo911BlSo13TzPFAt+o3Gah2o+b3z+NTZoX/7mIzxmk+8wbnYAzIbB4Cg==[/tex]其中[tex=1.429x1.214]92suNQJZFGewBJRftTN15g==[/tex]为任意常数.

举一反三

内容

0
set1 = {x for x in range(10)} print(set1) 以上代码的运行结果为？ A: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10} C: {1, 2, 3, 4, 5, 6, 7, 8, 9} D: {1, 2, 3, 4, 5, 6, 7, 8, 9,10}
1
设[tex=3.143x1.214]fC00PSr7EsIcGln2s0pq/A==[/tex]为3个随机事件,则下列结论中正确的是未知类型：{'options': ['若[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]互不相容,[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]与[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]互不相容,则[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]互不相容[br][/br]', '若[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]对立,[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]与[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]对立,则[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]也是对立事件', '若[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]包含[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex],[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]包含[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex],则[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]包含[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]', '若[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]独立,[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]与[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]独立,则[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]一定独立[br][/br]'], 'type': 102}
2
设[tex=3.143x1.214]oFObQtwM9vyjjWL7fjyhww==[/tex]是三个随机事件，试用[tex=3.143x1.214]oFObQtwM9vyjjWL7fjyhww==[/tex]表示下列各事件：（1）恰有[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]发生；（2）[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]和[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]都发生而[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]不发生；（3）所有这三个事件都发生；（4）[tex=3.143x1.214]oFObQtwM9vyjjWL7fjyhww==[/tex]至少有一个发生；（5）至少有两个事件发生；（6）恰有一个事件发生；（7）恰有两个事件发生；（8）不多于一个事件发生；（9）不多于两个事件发生；（10）三个事件都不发生.
3
设[tex=5.929x2.786]YHIKtHtTy6YeetIBukGWJ29FyEYWVBSkIYhOTWWwEFNeu6iwkaZUSw0MxAVdDIZja+GqhBOYN7rzj76h8n0OTAQxZ8CYMcIQ6P/H2SSArFo=[/tex]；求所有与[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]可交换的矩阵.
4
设有四张卡片分别标以数字1,2,3,4,今任取一张,设事件[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]为取到1或2,事件[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]为取到1或3,事件[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]为取到1或4,试验证[tex=22.214x3.071]Ck4j1YFlvVH5wCAykOEMi++IszHTh8h9QeHhqkwGi/K+aH87eNmhNg7En0z7R0/+mLtklycxACjRXcb6ZTF+04GQe2wnO6jBJzhwArgaGg4ADwnbnuClQcQutRuaZhsj/Ynq0VCVFU/MSCcb03PICrYUVfn+VB6sR5VIA6e4pu0=[/tex]