logonai busis Ul the following matIx. 3 3 1 3 A = 8. 13 5 7 -6 9 15 6 -9 For convenience, here is the same matrix in a form that can be copied into Python code: [[2, 3, 1, 3, e], [2, 3, 1, 3, 0], [8, 13, 5, 7, -6], [9, 15, 6, 6, -9]] How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the set of vectors -1 2 -3 then you should do it as follows: [5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3] Enter an orthogonal basis of the column space of A:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 63EQ
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Find an orthogonal basis of the column space of the following matrix:
2
3
1
1
3
A =
13
7
-6
15
-9
For convenience, here is the same matrix in a form that can be copied into Python code:
[[2, 3, 1, 3, e], [2, 3, 1, 3, 0], [8, 13, 5, 7, -6], [9, 15, 6, 6, -9]]
How to enter a set of vectors.
In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas.
For example, if you want to enter the set of vectors
-1
2
then you should do it as follows:
[5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3]
Enter an orthogonal basis of the column space of A:
Transcribed Image Text:Find an orthogonal basis of the column space of the following matrix: 2 3 1 1 3 A = 13 7 -6 15 -9 For convenience, here is the same matrix in a form that can be copied into Python code: [[2, 3, 1, 3, e], [2, 3, 1, 3, 0], [8, 13, 5, 7, -6], [9, 15, 6, 6, -9]] How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the set of vectors -1 2 then you should do it as follows: [5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3] Enter an orthogonal basis of the column space of A:
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