1. Evaluate the required determinant using the following techniques and show your step-by-step solution. 7V1 + 5V2 – 3V3 = 16 3V1 – 5V2 + 2V3 = -8 %3D 5V1 + 3V2 – 7V3 = 0 a. Determinant D using expansion by row with the 1st row as reference. b. Determinant D1 using expansion by column with the 2nd column as reference. c. Determinant D2 using alteration by zeros. %3D
1. Evaluate the required determinant using the following techniques and show your step-by-step solution. 7V1 + 5V2 – 3V3 = 16 3V1 – 5V2 + 2V3 = -8 %3D 5V1 + 3V2 – 7V3 = 0 a. Determinant D using expansion by row with the 1st row as reference. b. Determinant D1 using expansion by column with the 2nd column as reference. c. Determinant D2 using alteration by zeros. %3D
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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Transcribed Image Text:1. Evaluate the required determinant using the following techniques and show your
step-by-step solution.
7V1 + 5V2 – 3V3 = 16
3V1 – 5V2 + 2V3 = -8
5V1 + 3V2 – 7V3 = 0
a. Determinant D using expansion by row with the 1st row as reference.
b. Determinant Di using expansion by column with the 2nd column as reference.
c. Determinant D2 using alteration by zeros.
d. Determinant D3 using pivotal element method with the element A31 as pivot.
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