谁能帮我下线性代数 linear algebraThe transpose of an elementary matrix is an elementary matrix of the same type.Explain why.
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谁能帮我下线性代数 linear algebraThe transpose of an elementary matrix is an elementary matrix of the same type.Explain why.
谁能帮我下线性代数 linear algebra
The transpose of an elementary matrix is an elementary matrix of the same type.
Explain why.
谁能帮我下线性代数 linear algebraThe transpose of an elementary matrix is an elementary matrix of the same type.Explain why.
Because we can think about the three different types of elementary matrix for row operation.First,multiplying row operation--E=E(transpose).Second,interchanging row operation--E=E(transpose).
Third,adding a multiple of a row operation--if E is to add n*ith row to jth row,then E(transpose) is to add n*jth row to ith row,but they are the same type of row operation.In sum,the transpose of an elementary matrix is an elementary matrix of the same "type".