Consider the linear algebraic equation Ax=y Suppose the equation is solved for three special right hand sides y, as follows Ax1 = A x2 = 1 3D A X3 =| 0 0. 1. If we put the solutions x4,X2 as columns of a matrix x = x, x2 X3 what is AX and X3 3 2. If the three solutions in part (1) are 1 solve Ax=y for y= 5 X1 = X2 = X3 = 3. Use the information in parts (1), and (2) to find 8. A·

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the linear algebraic equation
Ax=y
Suppose the equation is solved for three special right hand sides
y, as follows
Ax1 =
A x2 = 1
A X3
=| 0
%3D
0.
1. If we put the solutions x4,X2
as columns of a matrix x = x, x2 X3 what is AX
and
X3
-3
2. If the three solutions in part (1) are x, =| 1
X2 =
1
X3 =
solve
Ax=y for
y=
3. Use the information in parts (1), and (2) to find
8.
Transcribed Image Text:Consider the linear algebraic equation Ax=y Suppose the equation is solved for three special right hand sides y, as follows Ax1 = A x2 = 1 A X3 =| 0 %3D 0. 1. If we put the solutions x4,X2 as columns of a matrix x = x, x2 X3 what is AX and X3 -3 2. If the three solutions in part (1) are x, =| 1 X2 = 1 X3 = solve Ax=y for y= 3. Use the information in parts (1), and (2) to find 8.
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