Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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 \(d\).
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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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