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Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by interchanging row k and row 21+k for k=1, 2, 3,...,8, 9, 10. (That is, interchange rows 1nd 20, interchange rows 2 and 19, interchange rows 3 and 18, etc.) Then the determinant B is

Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by interchanging row k and row 21+k for k=1, 2, 3,...,8, 9, 10. (That is, interchange rows 1nd 20, interchange rows 2 and 19, interchange rows 3 and 18, etc.) Then the determinant B is

Advanced Engineering Mathematics
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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Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by interchanging row k and row 21+k for k=1, 2, 3,....8, 9, 10. (That is, interchange rows 1nd 20, interchange rows 2 and 19, interchange rows 3 and 18, etc.) Then the determinant B is
Transcribed Image Text:Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by interchanging row k and row 21+k for k=1, 2, 3,....8, 9, 10. (That is, interchange rows 1nd 20, interchange rows 2 and 19, interchange rows 3 and 18, etc.) Then the determinant B is
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