(1.2.12)--英3.4.3 Transition matrix线性代数线性代数

3.4.3TransitionmatrixLinearAlgebraDefinitionIfandaretwobasesofthevectorspace,and𝑉.Denote𝑃theTransitionmatrixfrombasistobasis.basistransformationformula(𝛽1,𝛽2,⋯,𝛽𝑛)=(𝛼1,𝛼2,⋯,𝛼𝑛)𝑃ExampleTheTransitionmatrixfrombasistobasisofis.(23−1−2)Solution:GiventheTransitionmatrix,𝑃(𝛼1,𝛼2)𝑃=(𝛽1,𝛽2).⇒𝑃=¿¿(110−1)−1(1112)¿(110−1)(1112)¿(23−1−2).ExampleSupposeProofthatisabasisofandf...