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1. Find the distance between the points (a) (4,-1,2,7) and (2,3,1,9); (-1,5,-3, 2, 4) and (2, 6, 2, 7, 6); (b) (c) (5,-2, 3, 3, 1, 0) and (0, 1, 5, 7, 2, 1). 2. For the given sets of vectors, find the dimension of the space spanne a basis for this space.

1. Find the distance between the points (a) (4,-1,2,7) and (2,3,1,9); (-1,5,-3, 2, 4) and (2, 6, 2, 7, 6); (b) (c) (5,-2, 3, 3, 1, 0) and (0, 1, 5, 7, 2, 1). 2. For the given sets of vectors, find the dimension of the space spanne a basis for this space.

Advanced Engineering Mathematics
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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Plz I need solution to 1(a)  and 2(a) only

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ROBLEMS, SECTION 10 1. Find the distance between the points (4,-1, 2, 7) and (2, 3, 1, 9); (-1,5, -3, 2, 4) and (2, 6, 2, 7, 6); (5,-2, 3, 3, 1, 0) and (0, 1, 5, 7, 2, 1). 2. (a) (b) (c) For the given sets of vectors, find the dimension of the space spanned by them and a basis for this space. (a) (1,-1,0,0), (0, -2,5, 1), (1, -3, 5, 1), (2, -4, 5, 1);
Transcribed Image Text:ROBLEMS, SECTION 10 1. Find the distance between the points (4,-1, 2, 7) and (2, 3, 1, 9); (-1,5, -3, 2, 4) and (2, 6, 2, 7, 6); (5,-2, 3, 3, 1, 0) and (0, 1, 5, 7, 2, 1). 2. (a) (b) (c) For the given sets of vectors, find the dimension of the space spanned by them and a basis for this space. (a) (1,-1,0,0), (0, -2,5, 1), (1, -3, 5, 1), (2, -4, 5, 1);
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