高分悬赏求救：求3阶对称矩阵特征值及向量
本帖最后由 mys128 于 2014-9-15 23:57 编辑已知三阶符号对称方阵: b11 b12 b13B= b12 b22 b23 b13 b23 b33
C=M*ln(B')M-1
其中B'为方阵B的特征值矩阵，M为B对应特征向量组成的矩阵（按列排列），M-1为M的逆，ln为自然对数
已知三阶符号对称方阵data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAUCAMAAABs8jdaAAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOpDbZgAAZrb/kDoAkNv/tmYAtv//25A62////7Zm/9uQ//+2///b9HRApgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAT0lEQVQYV2NgIArwMYIBJ0ixEAcTNwMfIzMvkC3AyMIPJMBsPkZWBmEuRnaQGh6QaqAUTLkAUA4IBNmAKsEEqlYeoC4hDrBWZJuIchppigA3wQIo+271VQAAAABJRU5ErkJggg==：
data:image/png;base64,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
求方阵data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAUBAMAAACt9wpmAAAAAXNSR0IArs4c6QAAADBQTFRFAAAAAAAAAAA6OgAAOpDbZgAAZgA6Zrb/kDoAkNv/tmYA25A6/7Zm/9uQ//+2///bKdqrcAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAANUlEQVQYV2NgwAQ/BMUZGPiCJmyawMAlwvBsAsNTIJ+B4bImgoSI/ADL8giBVDJcFgTLEwkABhQOVhLA4HUAAAAASUVORK5CYII=：data:image/png;base64,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
其中data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAUCAMAAACK2/weAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOma2OpDbZgAAZrb/kDoAkDo6kNv/tmYAtv//25A62////7Zm/9uQ//+2///b/HgplAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAYElEQVQoU62OyRKAIAxDW+oCKoss//+rhjKjVw6+Q4YwaVqiabJBNLFy4CWw1RmPP4kULGzm5YZIbJfX8ErtZEtl71tCn0RgoKMZiUHZUKKivE3DBpRUB1G+I6aP/yP4ACl0AuxBjVPjAAAAAElFTkSuQmCC为方阵data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAUCAMAAABs8jdaAAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOpDbZgAAZrb/kDoAkNv/tmYAtv//25A62////7Zm/9uQ//+2///b9HRApgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAT0lEQVQYV2NgIArwMYIBJ0ixEAcTNwMfIzMvkC3AyMIPJMBsPkZWBmEuRnaQGh6QaqAUTLkAUA4IBNmAKsEEqlYeoC4hDrBWZJuIchppigA3wQIo+271VQAAAABJRU5ErkJggg==的特征值矩阵，data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAUCAMAAABh7EcdAAAAAXNSR0IArs4c6QAAAFRQTFRFAAAAAAAAAAA6AABmADqQAGZmAGaQAGa2OgBmOjpmOpDbZgAAZgA6ZjoAZpCQZrb/kDoAkJBmkNv/tmYAtv/btv//25A62////7Zm/9uQ//+2///b91uJiQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaklEQVQoU7WNWw6AIAwEu/hCfCHVgnj/e1qIF/DDTdpkks6W6EMYaCNRAoxaeUJzlg2ndI2LknSTCUr**PyvNd7YscmsBMMRZsDY7WHx1Y0ewqw5VcbtLyNZYhu7yhpG1cS1GL9Xb2/8wAtrwTlAR6IXQAAAABJRU5ErkJggg==为data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAUCAMAAABs8jdaAAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOpDbZgAAZrb/kDoAkNv/tmYAtv//25A62////7Zm/9uQ//+2///b9HRApgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAT0lEQVQYV2NgIArwMYIBJ0ixEAcTNwMfIzMvkC3AyMIPJMBsPkZWBmEuRnaQGh6QaqAUTLkAUA4IBNmAKsEEqlYeoC4hDrBWZJuIchppigA3wQIo+271VQAAAABJRU5ErkJggg==对应特征向量组成的矩阵（按列排列），data:image/png;base64,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为data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAUCAMAAABh7EcdAAAAAXNSR0IArs4c6QAAAFRQTFRFAAAAAAAAAAA6AABmADqQAGZmAGaQAGa2OgBmOjpmOpDbZgAAZgA6ZjoAZpCQZrb/kDoAkJBmkNv/tmYAtv/btv//25A62////7Zm/9uQ//+2///b91uJiQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaklEQVQoU7WNWw6AIAwEu/hCfCHVgnj/e1qIF/DDTdpkks6W6EMYaCNRAoxaeUJzlg2ndI2LknSTCUr**PyvNd7YscmsBMMRZsDY7WHx1Y0ewqw5VcbtLyNZYhu7yhpG1cS1GL9Xb2/8wAtrwTlAR6IXQAAAABJRU5ErkJggg==的逆，data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAUCAMAAABh7EcdAAAAAXNSR0IArs4c6QAAAFFQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOgBmOjqQOpDbZgAAZgA6ZmZmZrb/kDoAkDo6kNvbkNv/tmYAtmY6tv//25A62////7Zm/9uQ//+2///bRinyCgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAY0lEQVQoU5WOwRpAIBCEJ4SiKFF5/wc1dcqNDvu1s/PPLvD9pbEPjTsOV9Odsg3yBrftXBSFyIu7t92uMmsDpJlY1rLIQMXSFFDTiFHir8icHw5eMUlFFmGI0eDFa9X3+/84H7ymBHqqXeanAAAAAElFTkSuQmCC为自然对数。
这道题当年好像做过，
现在想不起来了，
那个自然对数可以参考帮助文档，MatrixFunction,
应该说这是个数学问题，发数学板块能更快获得帮助 答案应该是：C=lnB
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