How do we transform System A into System B? U x Equation [A1] → Equation [B1] O x Equation [A2] → Equation [B2] O x Equation [A1] + Equation [A2] → Equation [B2] O x Equation [A2] + Equation [A1] → Equation [B1] How do we transform System B into System C? O x Equation [B1] – - Equation [C1] O x Equation [B2] → Equation [C2] O x Equation [B1] + Equation [B2] Equation [C2] O x Equation [B2] + Equation [B1] - Equation [C1]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following three systems of linear equations.
System A
System B
System C
-5x+4y=7 [A1]
-5x+4y=7 [B1]
3x=-9 [C1]
8x-7y=-10 [A2]
-2x+y=4 [B2]
-2x+y= 4 [C2]
Answer the questions below.
For each, choose the transformation and then fill in the blank with the correct number.
The arrow () means the expression on the left becomes the expression on the right.
How do we transform System A into System B?
U x Equation [A1]
→ Equation [B1]
U x Equation [A2]
→ Equation [B2]
U x Equation [A1] + Equation [A2]-
→ Equation [B2]
U x Equation [A2] Equation [A1]
→ Equation [B1]
cform Syctem B into System C?
Transcribed Image Text:Consider the following three systems of linear equations. System A System B System C -5x+4y=7 [A1] -5x+4y=7 [B1] 3x=-9 [C1] 8x-7y=-10 [A2] -2x+y=4 [B2] -2x+y= 4 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow () means the expression on the left becomes the expression on the right. How do we transform System A into System B? U x Equation [A1] → Equation [B1] U x Equation [A2] → Equation [B2] U x Equation [A1] + Equation [A2]- → Equation [B2] U x Equation [A2] Equation [A1] → Equation [B1] cform Syctem B into System C?
How do we transform System A into System B?
O x Equation [A1] -
→ Equation [B1]
O x Equation [A2] → Equation [B2]
O x Equation [A1] + Equation [A2] → Equation [B2]
O x Equation [A2] + Equation [A1] → Equation [B1]
How do we transform System B into System C?
U x Equation [B1]-
→ Equation [C1]
O x Equation [B2] → Equation [C2]
O x Equation [B1] Equation [B2]
Equation [C2]
U x Equation [B2] Equation [B1] -
→ Equation [c]
Transcribed Image Text:How do we transform System A into System B? O x Equation [A1] - → Equation [B1] O x Equation [A2] → Equation [B2] O x Equation [A1] + Equation [A2] → Equation [B2] O x Equation [A2] + Equation [A1] → Equation [B1] How do we transform System B into System C? U x Equation [B1]- → Equation [C1] O x Equation [B2] → Equation [C2] O x Equation [B1] Equation [B2] Equation [C2] U x Equation [B2] Equation [B1] - → Equation [c]
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