简答题:设A为三阶矩阵，且A的特征值为<img src="http://www.weimei168.com/uploads/202208/161258137270191.png" width="22" height="29" />=1，<img src="http://www.weimei168.com/uploads/202208/16125813808061.png" width="24" height="29" />=2，<img src="http://www.weimei168.com/uploads/202208/161258138697261.png" width="22" height="30" />=3，其对应特征向量分别是<img src="http://www.weimei168.com/uploads/202208/161258140073011.png" width="24" height="29" />=(1，0，0)<img src="http://www.weimei168.com/uploads/202208/161258142990891.png" width="14" height="25" />，<img src="http://www.weimei168.com/uploads/202208/161258141290151.png" width="25" height="29" />=(1，1，0)<img src="http://www.weimei168.com/uploads/202208/161258142990891.png" width="14" height="25" />，P3=(1，1，1)<img src="http://www.weimei168.com/uploads/202208/161258142990891.png" width="14" height="25" />，求A<img src="http://www.weimei168.com/uploads/202208/161258143884241.png" width="14" height="25" />