Find all values of A for which det(A) = 0, using the method of this section. [1 – 8 A = 1 + 8 12 = Fill the upper blank with the greater value of A if it exists. Fill the blank with the symbol "x" if there is no corresponding A.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Find all values of λ for which det(A) = 0, using the method of this section.**

\[ A = \begin{bmatrix} 
λ - 8 & 0 \\
6 & λ + 8 
\end{bmatrix} \]

\[ λ_1 = \text{_______} \]

\[ λ_2 = \text{_______} \]

Fill the upper blank with the greater value of λ if it exists.

Fill the blank with the symbol "x" if there is no corresponding λ.
Transcribed Image Text:**Find all values of λ for which det(A) = 0, using the method of this section.** \[ A = \begin{bmatrix} λ - 8 & 0 \\ 6 & λ + 8 \end{bmatrix} \] \[ λ_1 = \text{_______} \] \[ λ_2 = \text{_______} \] Fill the upper blank with the greater value of λ if it exists. Fill the blank with the symbol "x" if there is no corresponding λ.
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