问题描述:
线性代数、正定矩阵、正定二次型.
在R^4中有两组基;a1 = (1,0,0,0)T,a2 = (0,1,0,0)T,a3 = (0,0,1,0)T,a4 = (0,0,0,1)T 与 b1 = (2,1,-1,1)T,b2 = (0,3,1,0)T,b3 = (5,3,2,1)T,b4 = (6,6,1,3)T.求(1)由基a1,a2,a3,a4到基b1,b2,b3,b4的过渡矩阵.(2)求两组基有相同坐标的非零向量.
在R^4中有两组基;a1 = (1,0,0,0)T,a2 = (0,1,0,0)T,a3 = (0,0,1,0)T,a4 = (0,0,0,1)T 与 b1 = (2,1,-1,1)T,b2 = (0,3,1,0)T,b3 = (5,3,2,1)T,b4 = (6,6,1,3)T.求(1)由基a1,a2,a3,a4到基b1,b2,b3,b4的过渡矩阵.(2)求两组基有相同坐标的非零向量.
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