(1.2.9)--英3.3.3 Calculation of the larges线性代数线性代数

LinearAlgebra3.3.3CalculationofthelargestIndependentgroupandRankofVectorGroupsExampleCalculatetherankandalargestindependentgroupofthefollowingvectorgroup:Solution:Method1Discriminatingthecorrelationofvectorgroups.𝛼3=𝛼1+2𝛼2.arelinearlydependentandarelinearlyindependent.𝛼1=(32−1−3−2),Thus,therankofthevectorgroupis2,andisalargestindependentgroupTheorem8TherankofmatrixAisequaltotherankofther...