请教刘老师一道线代问题A为二阶矩阵(1 -1 ) .( 2 3)B=A的平方-3A+2E ,则B的逆为(0 -1/2 -1 -1) 请教可有简便方法?另将等式因式分解(A-E)(A-2E)的逆矩阵后乘积 其结果因(A-E)的逆矩阵在前在后而不同?
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![请教刘老师一道线代问题A为二阶矩阵(1 -1 ) .( 2 3)B=A的平方-3A+2E ,则B的逆为(0 -1/2 -1 -1) 请教可有简便方法?另将等式因式分解(A-E)(A-2E)的逆矩阵后乘积 其结果因(A-E)的逆矩阵在前在后而不同?](/uploads/image/z/3923380-28-0.jpg?t=%E8%AF%B7%E6%95%99%E5%88%98%E8%80%81%E5%B8%88%E4%B8%80%E9%81%93%E7%BA%BF%E4%BB%A3%E9%97%AE%E9%A2%98A%E4%B8%BA%E4%BA%8C%E9%98%B6%E7%9F%A9%E9%98%B5%281+-1+%29+.%28+2+3%29B%3DA%E7%9A%84%E5%B9%B3%E6%96%B9-3A%2B2E+%2C%E5%88%99B%E7%9A%84%E9%80%86%E4%B8%BA%280+-1%2F2+-1+-1%29+%E8%AF%B7%E6%95%99%E5%8F%AF%E6%9C%89%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%3F%E5%8F%A6%E5%B0%86%E7%AD%89%E5%BC%8F%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%28A-E%29%28A-2E%29%E7%9A%84%E9%80%86%E7%9F%A9%E9%98%B5%E5%90%8E%E4%B9%98%E7%A7%AF+%E5%85%B6%E7%BB%93%E6%9E%9C%E5%9B%A0%28A-E%29%E7%9A%84%E9%80%86%E7%9F%A9%E9%98%B5%E5%9C%A8%E5%89%8D%E5%9C%A8%E5%90%8E%E8%80%8C%E4%B8%8D%E5%90%8C%3F)
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