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Deepak Patra posted an Question
January 01, 2022 • 12:07 pm 30 points
  • IIT JAM
  • Mathematics (MA)

How to proof property 2 ,3 4 and 5 ???????properties on similarity of matrix: 1. t:v,f) > v,(f) be linear operator and let ß &p'are tow ordered basis if a =[t:b

How to proof property 2 ,3 4 and 5 ???????Properties on Similarity of Matrix: 1. T:V,F) > V,(F) be linear operator and let ß &p'are tow ordered basis if A =[T:B,B} and B =[T:B',B1 Then A & B are similar matrices If A is similar to a diagonal matrix, then A is similar to A. 3. Let A and B are square matrices and let A be nou-singular than the matrices A'B and BA have same Eigen values If A and B are non-singular matrices of order i, than the matrices AB and BA are similar. 5. The matrices AB and BA have same non-zero eigen value with multiplicity

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