Write the given system of equations as a matrix equation and solve by using inverses. - x1 + x2 = k1 -2x1 + x2 = k2 ... a. What are X1 and X2 when k₁ = -4 and k₂ = 0? ×₁ = ×₂ = - 4 8 b. What are X1 and X2 when k₁ = 5 and k₂ = 3? X1 = 2 ×2 = 7 c. What are X1 and X2 when k₁ = = - 3 and k₂ = 7? X1 X2 = =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Write the given system of equations as a matrix equation and solve by using inverses.
- x1 + x2 =
k1
-2x1 + x2 =
k2
...
a. What are X1 and X2 when k₁ = -4 and k₂ = 0?
×₁ =
×₂ =
- 4
8
b. What are X1 and X2 when k₁ = 5 and k₂ = 3?
X1
= 2
×2 = 7
c. What are X1 and X2 when k₁
= =
- 3 and k₂ = 7?
X1
X2
=
=
Transcribed Image Text:Write the given system of equations as a matrix equation and solve by using inverses. - x1 + x2 = k1 -2x1 + x2 = k2 ... a. What are X1 and X2 when k₁ = -4 and k₂ = 0? ×₁ = ×₂ = - 4 8 b. What are X1 and X2 when k₁ = 5 and k₂ = 3? X1 = 2 ×2 = 7 c. What are X1 and X2 when k₁ = = - 3 and k₂ = 7? X1 X2 = =
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