Maple1131W9T5 - Linear Algebra
Tuesday, 1 May 2018
8:30 PM
Created with Microsoft OneNote 2016.
![Untitled picture.png Machine generated alternative text:
Suppose that a
(a) Enter the projection of a on v , in Maple syntax, in the box below.
-8
244 and v
-30
3
46
-30
projva
Note: (i) In Maple syntax, a vector can be entered as < ... >
(ii) projva
2
(iii) In the package LinearAlgebra, the Maple comand of the dot product of u and v is U. v
(b) Find the shortest distance from the point (—8, 244, —30) to the line x = Av. Enter the exact value of your answer in the box below.
110
Untitled picture.png Machine generated alternative text:
Enter the matrix
8
6
5
6
5
2
5
4
7
5
4
3
7
5
7
8
9
2
6
4
3
1
7
8
6
3
1
3
3
4
9
5
3
2
5
9
8
4
9
7
7
3
5
4
2
9
8
3
6
4
5
2
6
3
2
8
4
6
7
3
3
6
5
6
1
9
6
4
8
6
6
9
2
5
8
2
8
3
9
8
8
3
6
7
6
6
1
4
7
9
4
2
2
2
9
3
6
9
5
6
4
2
1
8
1
7
7
7
3
3
To prevent typing errors you may copy and paste following Maple command for entering A.
[Note that Maple does not display the full matrix when it has more than 10 rows or 10 columns. However, you can still work with the matrix using Maple commands.]
Use Maple to create the vector b that is column 2 from A and the matrix C that is made from columns 1 to 1 and 3 to 11 of A (in the same order as the columns of A).
Now solve the matrix equation
Cx=b
and enter the 8th component of the unique vector solution for x in the box below. (Your answer should be an exact fraction, not a decimal.)
-5741086/9284127
This question accepts numbers or formulas.
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Untitled picture.png Machine generated alternative text:
3: 1], [6: [2:823.9: 7]: 7]: [5, 4:42
10 x 11 Matrix
Data Type: anything
Storage: rectangular
Order: Fortran order
10 x 11 Matrix
Data Type: anything
(2)
Storage: rectangular
Column(Å, 2);
SubMatrix(Å, 1
Order: Fortran
4
9
2
6
4
order
.10, [1.3 .11])
6
6
2
4
7 36
1 5 32
9322
62
36
5728
52
89
(3)
(4)
518 84
4
9
6
2
6
4
9](Maple1131W9T5%20-%20Linear%20Algebra_files/image003.png)
![Untitled picture.png Machine generated alternative text:
3: 1], [6: [2:823.9: 7]: 7]: [5, 4:42
10 x 11 Matrix
Data Type: anything
Storage: rectangular
Order: Fortran order
10 x 11 Matrix
Data Type: anything
(2)
Storage: rectangular
Column(Å, 2);
SubMatrix(Å, 1
Order: Fortran
4
9
2
6
4
order
.10, [1.3 .11])
6
6
2
4
7 36
1 5 32
9322
62
36
5728
52
89
(3)
(4)
518 84
4
9
6
2
6
4
9
Untitled picture.png Machine generated alternative text:
t inearSolve( C, b)
7249810
9284127
3462712
3094709
1S33701
9284127
9276017
9284127
1968190
(5)
9284127
1891688
9284127
6100763
9284127
5741086
9284127
164255
9284127
2237401
9284127](Maple1131W9T5%20-%20Linear%20Algebra_files/image004.png)
