高中数学 第二章 几何变换与矩阵 变换的合成与矩阵乘法同步练习 新人教A版选修4-2-新人教A版高二选修4-2数学试题VIP免费

变换的合成与矩阵乘法同步练习一，选择题1，下列命题中正确的是()⑴矩阵中的每一个数字都不能相等⑵m×n矩阵实际是有m×n个数字组成⑶二阶单位矩阵对应的行列式值为1⑷矩阵的逆矩阵不能和原矩阵相等A.⑴⑵B.⑵⑶C.⑶⑷D.⑴⑷2，点通过矩阵210011M和310012M的变换效果相当于另一变换是()A.210031B.210061C.610021D.610013，43214011结果是()A.13371B.71313C.71331D.71133二，填空题4，计算1210110110.5,若)(,1001,1001aNMyxaNM则.6,)()(,,aNMaMNNM是两矩阵表示的几何意义是.三,解答题7,求证:对于单位矩阵1001I，M为任意矩阵,有:MMIIMIII,8,已知矩阵aMaM3161,32521求19,若10111013x比较7.0x与8.0x的大小.参考答案1,B2,D3,A4,315,yx6,矩阵M和N的乘积MN表示的变换就是通过先作矩阵N的变换，再作M的变换得到的变换.27,证明:设矩阵dcbaM,则III1001110001101001001110011001MdcbadbcadbcadcbaIM101001011001MdcbadbcadbcadcbaMI101001011001故有MMIIM.95240016132521325213252116132521:,833aM解8.07.0331313110111031101101101101:,9xxxxxx解3