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Let A be a 2 2 matrix with linearly independent column vectors a1 and a2. If a1 and a2

Linear Algebra with Applications | 8th Edition | ISBN: 9780136009290 | Authors: Steve Leon ISBN: 9780136009290 436

Solution for problem 15 Chapter 5.1

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition | ISBN: 9780136009290 | Authors: Steve Leon

Linear Algebra with Applications | 8th Edition

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Problem 15

Let A be a 2 2 matrix with linearly independent column vectors a1 and a2. If a1 and a2 are used to form a parallelogram P with altitude h (see the accompanying figure), show that (a) h2_a2_2 = _a1_2_a2_2 (aT 1 a2)2 (b) Area of P = |det(A)| h a1 a1 a2 a2 1

Step-by-Step Solution:
Step 1 of 3

• M W i &L: J$fr z/\$_ Mxxxvr svouuz — > M fl|lirih^uKh . c \ / ^ \ / idjU&daA&j/S a V ^ r T - X p f l ^ \{ H o k...

Step 2 of 3

Chapter 5.1, Problem 15 is Solved
Step 3 of 3

Textbook: Linear Algebra with Applications
Edition: 8
Author: Steve Leon
ISBN: 9780136009290

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Let A be a 2 2 matrix with linearly independent column vectors a1 and a2. If a1 and a2

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