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Let u = (xi. x2 ) and v = (Yi. y2 ) be elements ofR2 . Prove that the following function

Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams ISBN: 9781449679545 435

Solution for problem 1 Chapter 6.1

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams

Linear Algebra with Applications | 8th Edition

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Problem 1

Let u = (xi. x2 ) and v = (Yi. y2 ) be elements ofR2 . Prove that the following function defines an inner product on R2 . (u, v) = 4X1Y1 + 9X2Y2

Step-by-Step Solution:
Step 1 of 3

,*: 4 t' -.vx9+ yv, :t\+ e-+q.\ tf- uq + -,t1Q,rqr\2"rpx (f t'"1x3t9'"1 ,S+ r] - L.4,ti u, # fuA,t /*,r, /"(J,,,{ ,x = 3lj *3 \q'ol Q o)'€J Y /O=Y ,t,;/'z-'r; *\ /t)tr\J- >"( 6- -x+x^d *iv -/ qv ))'( l.\* U\' L_,, Y +.rJ-,''+tUS \7 ,\ n t-|xf* z\ zX --> L'l-x1e'r7 Y 'Y4aWaWr>75 -.Lln

Step 2 of 3

Chapter 6.1, Problem 1 is Solved
Step 3 of 3

Textbook: Linear Algebra with Applications
Edition: 8
Author: Gareth Williams
ISBN: 9781449679545

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Let u = (xi. x2 ) and v = (Yi. y2 ) be elements ofR2 . Prove that the following function