Question

Prove that: \( \left|\begin{array}{ccc}1+a & 1 & 1 \\ 1 & 1+a & 1 \\ 1 & 1 & 1+a\end{array}\right|=a^{2}(a+3) \)

          Prove that: \( \left|\begin{array}{ccc}1+a & 1 & 1 \\ 1 & 1+a & 1 \\ 1 & 1 & 1+a\end{array}\right|=a^{2}(a+3) \)

Prove that: |
1+a 1 1
1 1+a 1
1 1 1+a
|=a^2(a+3)

Added by Andrew W.

Electrical Engineering: Principles and Applications

Allan R. Hambley 5th Edition

Chapter 7

Instant Answer

Solved by Expert Hanlin Sun

05/20/2022

Step 1

Step 1: Consider the determinant of the given matrix: \[ \left|\begin{array}{ccc}1+a & 1 & 1 \\ 1 & 1+a & 1 \\ 1 & 1 & 1+a\end{array}\right| \] Show more…

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Prove that: \( \left|\begin{array}{ccc}1+a & 1 & 1 \\ 1 & 1+a & 1 \\ 1 & 1 & 1+a\end{array}\right|=a^{2}(a+3) \)

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Prove that: \( \left|\begin{array}{ccc}1+a & 1 & 1 \\ 1 & 1+a & 1 \\ 1 & 1 & 1+a\end{array}\right|=a^{2}(a+3) \)

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