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((-a) X₁ 2X₁ -X. where A This linear sptemquation max from Axab: 2X₁ (4-0)X₂1 -X₁ 2 Since 4 (1) Al 2 (-)-2 [-1 JAI (-) (1) (4) 4+2(3-2 (4-0)-1(40(1-0) |A|= (-) (4-²-4)+ 2(2-8+26)-1(1-6) |A|-²92-28+31+%-12-544 IAL-²2-23+15 JA1-(-) (²-8+15) |A|--(-1) (0-6) (6-3). X= A is real number, we get the solutions

((-a) X₁ 2X₁ -X. where A This linear sptemquation max from Axab: 2X₁ (4-0)X₂1 -X₁ 2 Since 4 (1) Al 2 (-)-2 [-1 JAI (-) (1) (4) 4+2(3-2 (4-0)-1(40(1-0) |A|= (-) (4-²-4)+ 2(2-8+26)-1(1-6) |A|-²92-28+31+%-12-544 IAL-²2-23+15 JA1-(-) (²-8+15) |A|--(-1) (0-6) (6-3). X= A is real number, we get the solutions

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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Determine the number of solutions to the following linear system of equations for all real numbers in ((4-0) X₁ 2X. -X. -(-)₁-2₂ -2X₁ (4-0)X₂1 This linear system of equations can be rew mata from Axab: where A - (-a) -2 2 -t 2 (4) |A|= 2 (4-0) 2 7 21 TAL-²92-23x+15 1A1-(-1) (²-84+15) |A|=-(-1) (as) (-3). |A| = (-) (1) (4-) + 4+2 (2-2 (4-4)-1(4+(1-4) |A|=-) (4-5²4) + 2(2-8+26)-1 (1-0) |A|-²49-2831+4-12-54 1 X= Since A is a real number, we get the solutions to the linear equation when : Alo →-(2-1) (2-5) (0-3) ×0. This means that and that the number of solutions to the linear equation for all real numbers an is infinite but a 1,3,5 what happens when a is epal to I, 3 and 5? It must be investigated separately.
Transcribed Image Text:Determine the number of solutions to the following linear system of equations for all real numbers in ((4-0) X₁ 2X. -X. -(-)₁-2₂ -2X₁ (4-0)X₂1 This linear system of equations can be rew mata from Axab: where A - (-a) -2 2 -t 2 (4) |A|= 2 (4-0) 2 7 21 TAL-²92-23x+15 1A1-(-1) (²-84+15) |A|=-(-1) (as) (-3). |A| = (-) (1) (4-) + 4+2 (2-2 (4-4)-1(4+(1-4) |A|=-) (4-5²4) + 2(2-8+26)-1 (1-0) |A|-²49-2831+4-12-54 1 X= Since A is a real number, we get the solutions to the linear equation when : Alo →-(2-1) (2-5) (0-3) ×0. This means that and that the number of solutions to the linear equation for all real numbers an is infinite but a 1,3,5 what happens when a is epal to I, 3 and 5? It must be investigated separately.
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