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The derivative of a+bx+cx2 is b+2cx+0x 2 . (a) Write the 3 by 3 matrix D such that D a b
Chapter 5, Problem 5.6.13(choose chapter or problem)
The derivative of a+bx+cx2 is b+2cx+0x 2 . (a) Write the 3 by 3 matrix D such that D a b c = b 2c 0 . (b) Compute D 3 and interpret the results in terms of derivatives. (c) What are the eigenvalues and eigenvectors of D?
Questions & Answers
QUESTION:
The derivative of a+bx+cx2 is b+2cx+0x 2 . (a) Write the 3 by 3 matrix D such that D a b c = b 2c 0 . (b) Compute D 3 and interpret the results in terms of derivatives. (c) What are the eigenvalues and eigenvectors of D?
ANSWER:Step 1 of 3
Given the derivative of expression is
(a) The by matrix such that
Since, the first element of the column is , then and all the other element should be .
The second element of the column is , then and all the other element should be .
The third element of the column is , then and all the other element should be.
Therefore, the matrix form as;