三维列向量是什么？ 线性代数，请问什么叫三维单位列向量？
\u8bf7\u6559\u4e0b \u4e09\u7ef4\u5217\u5411\u91cf \uff1f\u5bf9\u4e8em*n\u77e9\u9635A=\uff08ai,j\uff09m*n\uff0c\u5f53n=1\u65f6\uff0c\u6b64\u65f6\u7684m*1\u77e9\u9635\u53c8\u79f0\u4e3a\u5217\u77e9\u9635\uff0c\u6216m\u7ef4\u5217\u5411\u91cf\u3002
\u4e09\u7ef4\u5217\u5411\u91cf\u5c31\u662fm=3\u3002\u4f8b\u5982
A=1
2
3
\u7528[ ]\u62ec\u8d77\u6765\u5c31\u8868\u793a\u4e00\u4e2a\u4e09\u7ef4\u5217\u5411\u91cf\u3002
\u4e09\u7ef4\u5355\u4f4d\u5217\u5411\u91cf\uff1ae1{1\uff0c0\uff0c0}\uff0ce2{0, 1, 0}\uff0ce3 {0, 0 , 1}\u3002\u5411\u91cfe1\uff0ce2\uff0ce3 \u7684\u8f6c\u7f6e\u4e3a\u88ab\u79f0\u4e3a3\u7ef4\u5355\u4f4d\u5217\u5411\u91cf\u3002
\u4e09\u7ef4\u5355\u4f4d\u5217\u5411\u91cf\uff1ae1{1\uff0c0\uff0c0}, e2{0, 1, 0}, e3 {0, 0 , 1}\u3002
\u5411\u91cfe1\uff0ce2\uff0ce3 \u7684\u8f6c\u7f6e\u4e3a\u88ab\u79f0\u4e3a3\u7ef4\u5355\u4f4d\u5217\u5411\u91cf\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5728\u7ebf\u6027\u4ee3\u6570\u4e2d\uff0c\u884c\u5411\u91cf\u662f\u4e00\u4e2a 1\u00d7n\u7684\u77e9\u9635\uff0c\u5373\u77e9\u9635\u7531\u4e00\u4e2a\u542b\u6709n\u4e2a\u5143\u7d20\u7684\u884c\u6240\u7ec4\u6210\u5373\u884c\u5411\u91cf\u3002
\u884c\u5411\u91cf\u7684\u8f6c\u7f6e\u662f\u4e00\u4e2a\u5217\u5411\u91cf\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002
\u6240\u6709\u7684\u884c\u5411\u91cf\u7684\u96c6\u5408\u5f62\u6210\u4e00\u4e2a\u5411\u91cf\u7a7a\u95f4\uff0c\u5b83\u662f\u6240\u6709\u5217\u5411\u91cf\u96c6\u5408\u7684\u5bf9\u5076\u7a7a\u95f4\u3002
\u5b83\u53ef\u4ee5\u5f62\u8c61\u5316\u5730\u8868\u793a\u4e3a\u5e26\u7bad\u5934\u7684\u7ebf\u6bb5\u3002\u7bad\u5934\u6240\u6307\uff1a\u4ee3\u8868\u5411\u91cf\u7684\u65b9\u5411\uff1b\u7ebf\u6bb5\u957f\u5ea6\uff1a\u4ee3\u8868\u5411\u91cf\u7684\u5927\u5c0f\u3002\u4e0e\u5411\u91cf\u5bf9\u5e94\u7684\u53ea\u6709\u5927\u5c0f\uff0c\u6ca1\u6709\u65b9\u5411\u7684\u91cf\u53eb\u505a\u6570\u91cf\uff08\u7269\u7406\u5b66\u4e2d\u79f0\u6807\u91cf\uff09\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u5217\u5411\u91cf
\u4e09\u7ef4\u5355\u4f4d\u5217\u5411\u91cf\uff1ae1{1\uff0c0\uff0c0},
e2{0,
1,
0},
e3
{0,
0
,
1}\u3002
\u5411\u91cfe1\uff0ce2\uff0ce3
\u7684\u8f6c\u7f6e\u4e3a\u88ab\u79f0\u4e3a3\u7ef4\u5355\u4f4d\u5217\u5411\u91cf\u3002
三维列向量就是m=3。例如
A=1
2
3
用[ ]括起来就表示一个三维列向量。
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