① 若<imgwidth="54"height="20"v:shapes="_x0000_i1309"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image331.png">有无穷多个解,则<imgwidth="54"height="20"v:shapes="_x0000_i1310"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image297.png">仅有零解
② <imgwidth="54"height="20"v:shapes="_x0000_i1311"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image297.png">仅有零解,则<imgwidth="54"height="20"v:shapes="_x0000_i1312"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image331.png">有唯一解
③ 若<imgwidth="54"height="20"v:shapes="_x0000_i1313"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image331.png">有无穷多个解,则<imgwidth="54"height="20"v:shapes="_x0000_i1314"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image297.png">有非零解
① <imgwidth="45"height="22"v:shapes="_x0000_i1297"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image371.png">,<imgwidth="49"height="22"v:shapes="_x0000_i1298"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image373.png">
② <imgwidth="45"height="22"v:shapes="_x0000_i1299"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image371.png">,<imgwidth="49"height="22"v:shapes="_x0000_i1300"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image373.png">
③ <imgwidth="45"height="22"v:shapes="_x0000_i1301"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image375.png">,<imgwidth="49"height="22"v:shapes="_x0000_i1302"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds03.files/image373.png">
① <imgwidth="86"height="22"v:shapes="_x0000_i1208"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image255.png">
② 存在可逆矩阵<imgwidth="18"height="18"v:shapes="_x0000_i1209"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image257.png">与<imgwidth="18"height="24"v:shapes="_x0000_i1210"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image259.png">使得<imgwidth="74"height="24"v:shapes="_x0000_i1211"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image261.png">
③ 存在可逆矩阵<imgwidth="16"height="18"v:shapes="_x0000_i1212"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image263.png">使得<imgwidth="82"height="22"v:shapes="_x0000_i1213"src="http://wljy.whut.edu.cn/uploadfiles/word/xxds04.files/image265.png">