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Question 4. In this question you will explore important ideas related to a proof about positive definite matrices. These results will help you understand the proof of the theorem we present in class. (1) Let A = a11 a12 a13 a14 a21 a22 a23 a24 a31 032 a33 a34 a11 a12 a13 B = a21 a22 a23 a31 a32 a33 a41 a42 a43 a44 Let (x1, 12, 13) = R³. Show, by computation, that 9A (x1, x2, x3, 0) = 9B (X1, X2, X3).

Question 4. In this question you will explore important ideas related to a proof about positive definite matrices. These results will help you understand the proof of the theorem we present in class. (1) Let A = a11 a12 a13 a14 a21 a22 a23 a24 a31 032 a33 a34 a11 a12 a13 B = a21 a22 a23 a31 a32 a33 a41 a42 a43 a44 Let (x1, 12, 13) = R³. Show, by computation, that 9A (x1, x2, x3, 0) = 9B (X1, X2, X3).

Linear Algebra: A Modern Introduction
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 3AEXP
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Please also briefly summarize the intuition for this result in a couple sentence in plain english. Thanks!

Question 4. In this question you will explore important ideas related to a proof about positive definite matrices. These results will help you understand the proof of the theorem we present in class. (1) Let A = a11 a12 a13 a14 a21 a22 a23 a24 a31 032 a33 a34 a11 a12 a13 B = a21 a22 a23 a31 a32 a33 a41 a42 a43 a44 Let (x1, 12, 13) = R³. Show, by computation, that 9A (x1, x2, x3, 0) = 9B (X1, X2, X3).
Transcribed Image Text:Question 4. In this question you will explore important ideas related to a proof about positive definite matrices. These results will help you understand the proof of the theorem we present in class. (1) Let A = a11 a12 a13 a14 a21 a22 a23 a24 a31 032 a33 a34 a11 a12 a13 B = a21 a22 a23 a31 a32 a33 a41 a42 a43 a44 Let (x1, 12, 13) = R³. Show, by computation, that 9A (x1, x2, x3, 0) = 9B (X1, X2, X3).
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