Find a family of the matrices that is similar to the matrix Q=begin{bmatrix}p & -2 4 & -3 end{bmatrix}

midtlinjeg 2020-10-26 Answered
Find a family of the matrices that is similar to the matrix Q=[p243]
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Expert Answer

Nicole Conner
Answered 2020-10-27 Author has 97 answers
Step 1
The given matrix Q is :
Q=[p243]
Consider a non singular matrix :
A=[1234]
The similar matrix for Q=AQA1=B
Therefore, B is the similar matrix to Q.
B=AQA1
Q=A1BA
Step 2
Now value for A^{-1} ,
A1=adj(A)|A|
=12[4231]
=[213212]
Step 3
Therefore, the value for B,
B=[1234][p243][213212]
=[1234][2p3p+1252112]
=[2p28p+126p59p+23]
This matrix B is the family of singular matrices.
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Jeffrey Jordon
Answered 2022-01-23 Author has 2064 answers

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