h) a b b. a lb-a) Ce-6)(d-c) 6.

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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The image shows a mathematical expression involving the determinant of a 4x4 matrix and its simplification. 

The matrix is:

\[
\begin{vmatrix}
a & a & a & a \\
a & b & b & b \\
a & b & c & c \\
a & b & c & d \\
\end{vmatrix}
\]

The expression provided is the determinant of this matrix, simplified as:

\[ 
= a(b-a)(c-b)(d-c) 
\]

This shows a step-by-step breakdown of how the determinant of this particular matrix can be simplified to a product involving the variables \(a\), \(b\), \(c\), and \(d\).
Transcribed Image Text:The image shows a mathematical expression involving the determinant of a 4x4 matrix and its simplification. The matrix is: \[ \begin{vmatrix} a & a & a & a \\ a & b & b & b \\ a & b & c & c \\ a & b & c & d \\ \end{vmatrix} \] The expression provided is the determinant of this matrix, simplified as: \[ = a(b-a)(c-b)(d-c) \] This shows a step-by-step breakdown of how the determinant of this particular matrix can be simplified to a product involving the variables \(a\), \(b\), \(c\), and \(d\).
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