Question 2 For an n x n matrix A = form) via (aij)...
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Question 2 For an n x n matrix A = form) via (aij)<ijn over R, define a map (called a quadratic Rn X1 X2 X3 X1 Xn 9: R³ → R → R → In). A. 1. Given A, what is the relationship between 44 and 4A+AT? Here AT denotes the transpose of A. [20] 2. Given A, find a symmetric n x n matrix B such that qa = 9B. [20] 3. Assume n = 3 and consider the map (1) -3x+6x1x2 - 4x1x32x² + 4x2x3 + 2x². Find a symmetric matrix B such that q = qB. [20] Question 2 For an n x n matrix A = form) via (aij)<ijn over R, define a map (called a quadratic Rn X1 X2 X3 X1 Xn 9: R³ → R → R → In). A. 1. Given A, what is the relationship between 44 and 4A+AT? Here AT denotes the transpose of A. [20] 2. Given A, find a symmetric n x n matrix B such that qa = 9B. [20] 3. Assume n = 3 and consider the map (1) -3x+6x1x2 - 4x1x32x² + 4x2x3 + 2x². Find a symmetric matrix B such that q = qB. [20]
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Related Book For
Intermediate Accounting
ISBN: 978-0132162302
1st edition
Authors: Elizabeth A. Gordon, Jana S. Raedy, Alexander J. Sannella
Posted Date:
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