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Home » Find the eigenvalues of the matrix \( eginbmatrix 4 & 1 \ 2 & 3 \endbmatrix \). - go-checkin.com

Find the eigenvalues of the matrix \( eginbmatrix 4 & 1 \ 2 & 3 \endbmatrix \). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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First, evaluate \( f(3) \):
f(3) = 2(3)^2 + 3(3) + c = 2 imes 9 + 9 + c = 18 + 9 + c = 27 + c
Next, evaluate \( g(3) \):
g(3) = 3(3)^2 + 2(3) + 2c = 3 imes 9 + 6 + 2c = 27 + 6 + 2c = 33 + 2c
Set \( f(3) = g(3) \):
+ c = 33 + 2c
- 33 = 2c - c \
The value of \( c \) is:
oxed{-6}
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