Q2 Given is the matrix а а 2а A= 1 a 1 -() a a 1 where a is a parameter. First determine the determinant it (A) as a polynomial in a. Solve the system of equations a + Ax = 1 for each choice of parameter, a: Investigate when the solution exists and is unique, when it does not exist any solution, as well as all solutions in cases where the solution is not unique. Relate the different special cases (where the solution does not exist or is not unique) to it (A). To decrease down on own bills, the use of Mathematica is recommended.
Q2 Given is the matrix а а 2а A= 1 a 1 -() a a 1 where a is a parameter. First determine the determinant it (A) as a polynomial in a. Solve the system of equations a + Ax = 1 for each choice of parameter, a: Investigate when the solution exists and is unique, when it does not exist any solution, as well as all solutions in cases where the solution is not unique. Relate the different special cases (where the solution does not exist or is not unique) to it (A). To decrease down on own bills, the use of Mathematica is recommended.
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:Q2
Given is the matrix
а 2а
a
A =
1 a
1
a
a
1
where a is a parameter. First determine the determinant it (A) as a polynomial in a. Solve
the system of equations
- (E)
a +1'
Ax =
1
1
for each choice of parameter, a: Investigate when the solution exists and is unique, when it does not
exist any solution, as well as all solutions in cases where the solution is not unique. Relate the different
special cases (where the solution does not exist or is not unique) to it (A). To decrease
down on own bills, the use of Mathematica is recommended.
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