计算下列矩阵的乘积:[tex=4.5x2.929]dEdrC9SQsN/3Vx39SaFo4BmfHDOYpGYfjQEI8pOSqeCMPASKTUss3zsYaXg1recJU9gxIHaGGtswYKyiinStRw==[/tex]

求方阵[tex=7.429x3.929]dEdrC9SQsN/3Vx39SaFo4Oq6pHORwUgHH4K6K4NRwvYfQZG3o8fHphhOcVcvU62bhMWb+VDLGtHLuvCrcX7E8KY9LBstmQkMv08rZhiVO0z10tL9/ntCNXIP11iT58tn[/tex]的实特征值与对应的特征向量．

如果[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]与[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]相似，[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]与[tex=0.857x1.0]m2DKAQtGuc1DyN3zyNlILg==[/tex]相似，证明：[tex=4.571x2.786]dEdrC9SQsN/3Vx39SaFo4KF1WyKLO/mJ0aYXcSqCqIW6/3WlgwxtaTp2ljjBxZTnnmt80jT4HNsVcGBiJ86+fQ==[/tex]与[tex=4.643x2.786]dEdrC9SQsN/3Vx39SaFo4JZ2xrpVClgEXQGDqo43mPAE2jwXQlOMnLfpXaqyoLykDaHVUwx4Gu5tbq6ulORXOw==[/tex]相似．

用初等变换法求下列矩阵的逆矩阵：[tex=6.5x3.643]dEdrC9SQsN/3Vx39SaFo4GvXklf97FoC6t34nbv7+LgIfE2qkUvTNVj1/6h+8UAOEy/Q4O+NnPmFmob/4SAdqtwB7fdWRofzFanu1qVfP3jGQXj3QcUIm8BTbyy6xBsE[/tex]；

求下列复系数矩阵的若尔当标准形：[tex=8.0x3.643]dEdrC9SQsN/3Vx39SaFo4LcUOjk7ZymUxmJzBguhitP0k4wnrHT9Kl4tzeesnRH2iVv4rLXqz6LBhEeyEDlBFeDH/LVtLwUv3ZCepjI0Lrga4nMQxfFLAP+DcstMJVsY[/tex]

在 MATLAB 中如何建立矩阵[tex=5.571x2.786]dEdrC9SQsN/3Vx39SaFo4PD8HqZ+ThA9ehZ9H2WPIM/rFC6mdpm2V57fHYAZHcUXpgOHy8m+HayRA/g9pqid3IGhnahtjNg/EnRcF9+1cEs=[/tex]，并将其赋予变量a？

试用列主元Gauss消去法解下列方程组：[tex=13.714x3.5]dEdrC9SQsN/3Vx39SaFo4EV4jYaAwMFUVYHV0oGaAQfgiLv0kfL9y1p42tCA2ZPslMyfKWDO/aPE9ULZzOhoEICi3tHRHoeieJzar0PMU3KFGBT6HyDY/T83RUtszeA9newiRzA04fxEMxvibqz9VBEb/bWSShPiUj6FkaiVGxa0eqHw4zWesN4inMWB8JM6o2SLC5ZCqzbUNmdU9O9co6Fjynb521Yh4MuklKKZPOxIIBIrs9vHoIMz4ezK4shsyfGhKYmCHD3roAPbqOFM7g==[/tex]

试讨论用 Jacobi迭代法解下列方程组的收敛性问题：[tex=13.5x3.643]dEdrC9SQsN/3Vx39SaFo4EV4jYaAwMFUVYHV0oGaAQcwkY8Olq5LVjOkvvP9bn0P4y9wjdiQafijwoOhbLizbFlTXKZw2zioxGQ0EfAt/fJjIwHvMMFrFqSW1vQsuY58aOtOT5PJKPkKuGU9tuaRDDkTrBX7y2XhWwSMwrjZc/wW45AllFrQX0Rnq34tXEreuSl4Z84LvcZFgCO2rRFQV3i9DC5w4mGnhjRVOAnRB80r5mZBYscT98SaLkpwU2Lj2GW4LaWBobzpKZeDVUbHPg==[/tex]

试讨论用 Gauss-Seidel迭代法解下列方程组的收敛性问题：[tex=13.5x3.643]dEdrC9SQsN/3Vx39SaFo4EV4jYaAwMFUVYHV0oGaAQcwkY8Olq5LVjOkvvP9bn0P4y9wjdiQafijwoOhbLizbFlTXKZw2zioxGQ0EfAt/fJjIwHvMMFrFqSW1vQsuY58aOtOT5PJKPkKuGU9tuaRDDkTrBX7y2XhWwSMwrjZc/wW45AllFrQX0Rnq34tXEreuSl4Z84LvcZFgCO2rRFQV3i9DC5w4mGnhjRVOAnRB80r5mZBYscT98SaLkpwU2Lj2GW4LaWBobzpKZeDVUbHPg==[/tex]

求解下列矩阵对策，其中赢得矩阵[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]分别为[tex=5.714x3.5]dEdrC9SQsN/3Vx39SaFo4HOAojYtr/IkvUJFU9oPy6WsV1qDwWuVj230l6Y3K+lWm2evC18R6PTARq0i2hcnYIrEO5TmLJvenlqUSjlR5Zo=[/tex]