Problem III Evaluate the following determinant. 2 1 1 1 1 12 11 1 42. 1 1 2 1 1 11 12 1 11 112 13 2 0001 01111 10 11 1 41. 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 2 1 0001 1 1 1 1 0 11101 43. 1 1 0 1 1 10 11 1 01111 144.000 44. 11 112 11 12 1 1 1 2 1 1 12111 21 1 1 1 156.00
Problem III Evaluate the following determinant. 2 1 1 1 1 12 11 1 42. 1 1 2 1 1 11 12 1 11 112 13 2 0001 01111 10 11 1 41. 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 2 1 0001 1 1 1 1 0 11101 43. 1 1 0 1 1 10 11 1 01111 144.000 44. 11 112 11 12 1 1 1 2 1 1 12111 21 1 1 1 156.00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Parts 41-44 Please
![**Problem III: Evaluate the following determinants.**
41.
\[
\begin{vmatrix}
0 & 1 & 1 & 1 \\
1 & 0 & 1 & 1 \\
1 & 1 & 0 & 1 \\
1 & 1 & 1 & 0 \\
\end{vmatrix}
\]
42.
\[
\begin{vmatrix}
2 & 1 & 1 & 1 \\
2 & 1 & 1 & 1 \\
1 & 1 & 1 & 2 \\
1 & 1 & 1 & 2 \\
\end{vmatrix}
\]
43.
\[
\begin{vmatrix}
1 & 1 & 0 & 1 \\
1 & 1 & 0 & 1 \\
0 & 1 & 1 & 1 \\
0 & 1 & 1 & 1 \\
\end{vmatrix}
\]
44.
\[
\begin{vmatrix}
1 & 1 & 1 & 2 \\
1 & 1 & 2 & 1 \\
1 & 2 & 1 & 1 \\
2 & 1 & 1 & 1 \\
\end{vmatrix}
\]
45.
\[
\begin{vmatrix}
2 & 1 & 0 & 0 \\
1 & 3 & 2 & 0 \\
0 & 2 & 1 & 2 \\
0 & 0 & 1 & 3 \\
\end{vmatrix}
\]
46.
\[
\begin{vmatrix}
3 & 2 & 0 & 0 \\
1 & 3 & 2 & 0 \\
0 & 1 & 3 & 2 \\
0 & 0 & 1 & 3 \\
\end{vmatrix}
\]
47.
\[
\begin{vmatrix}
4 & 4 & 0 & 0 \\
1 & 4 & 4 & 0 \\
0 & 1 & 4 & 4 \\
0 & 0 & 1 & 4 \\
\end{vmatrix}
\]
48.
\[
\begin{vmatrix}
5 & 6 & 0 & 0 \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47d370c3-9e4b-442d-9a89-d591c5ced338%2F5a4cd96a-f3f5-4681-a4bc-47a3a0b7942b%2Fn3n9snn_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem III: Evaluate the following determinants.**
41.
\[
\begin{vmatrix}
0 & 1 & 1 & 1 \\
1 & 0 & 1 & 1 \\
1 & 1 & 0 & 1 \\
1 & 1 & 1 & 0 \\
\end{vmatrix}
\]
42.
\[
\begin{vmatrix}
2 & 1 & 1 & 1 \\
2 & 1 & 1 & 1 \\
1 & 1 & 1 & 2 \\
1 & 1 & 1 & 2 \\
\end{vmatrix}
\]
43.
\[
\begin{vmatrix}
1 & 1 & 0 & 1 \\
1 & 1 & 0 & 1 \\
0 & 1 & 1 & 1 \\
0 & 1 & 1 & 1 \\
\end{vmatrix}
\]
44.
\[
\begin{vmatrix}
1 & 1 & 1 & 2 \\
1 & 1 & 2 & 1 \\
1 & 2 & 1 & 1 \\
2 & 1 & 1 & 1 \\
\end{vmatrix}
\]
45.
\[
\begin{vmatrix}
2 & 1 & 0 & 0 \\
1 & 3 & 2 & 0 \\
0 & 2 & 1 & 2 \\
0 & 0 & 1 & 3 \\
\end{vmatrix}
\]
46.
\[
\begin{vmatrix}
3 & 2 & 0 & 0 \\
1 & 3 & 2 & 0 \\
0 & 1 & 3 & 2 \\
0 & 0 & 1 & 3 \\
\end{vmatrix}
\]
47.
\[
\begin{vmatrix}
4 & 4 & 0 & 0 \\
1 & 4 & 4 & 0 \\
0 & 1 & 4 & 4 \\
0 & 0 & 1 & 4 \\
\end{vmatrix}
\]
48.
\[
\begin{vmatrix}
5 & 6 & 0 & 0 \
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