What values for x and y are needed in the linear combination below to make the equation correct? 3. 2 3 X = 1 y =| 2 The system of equations 2x + y = 1, 3x expressed as the vector equation 4y = 7 can be %3D 1 xu + YU using the vectors u = and v = The same system of equations can be written in a matrix form A = b using the matrix A =

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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What values for x and y are needed in the linear combination below to
make the equation correct?
1
3
+ y
X =| 1
y =| 2
The system of equations 2x + y = 1, 3x – 4y = 7 can be
expressed as the vector equation
-
1
xu + YV
using the vectors
u =
and v =
The same system of equations can be written in a matrix form
A
b using the matrix
A =
and the vector
b =
Transcribed Image Text:What values for x and y are needed in the linear combination below to make the equation correct? 1 3 + y X =| 1 y =| 2 The system of equations 2x + y = 1, 3x – 4y = 7 can be expressed as the vector equation - 1 xu + YV using the vectors u = and v = The same system of equations can be written in a matrix form A b using the matrix A = and the vector b =
1
The matrix equation
2
3
can be expressed as a
- 1
3
where
2
linear combination xu + yv =
u =
and
V =
Transcribed Image Text:1 The matrix equation 2 3 can be expressed as a - 1 3 where 2 linear combination xu + yv = u = and V =
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