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For a natural number n, let C, = {(aij) E M„(R): a;j = aki for all i, j,k,1 such that j-i=,l – k}. (a) Exactly one of the two matrices below is an element of C3. Which one? (0 1 2 A1 = |1 2 0 2 0 2 0 1 2 A2 1 1.

For a natural number n, let C, = {(aij) E M„(R): a;j = aki for all i, j,k,1 such that j-i=,l – k}. (a) Exactly one of the two matrices below is an element of C3. Which one? (0 1 2 A1 = |1 2 0 2 0 2 0 1 2 A2 1 1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For a natural number n, let C, = {(aij) E M„(R): a;j = aki for all i, j,k,1 such that j-i=,l – k}. (a) Exactly one of the two matrices below is an element of C3. Which one? 0 1 2V A1 = |1 2 0 2 0 1 0 1 2 A2 = |2 0 1 1 2 0/ (b) Let A be the matrix you chose in part (a). Compute A?. Check that A? e C3, and write out a brief explanation (one or two sentences is enough) explaining how you checked.
Transcribed Image Text:For a natural number n, let C, = {(aij) E M„(R): a;j = aki for all i, j,k,1 such that j-i=,l – k}. (a) Exactly one of the two matrices below is an element of C3. Which one? 0 1 2V A1 = |1 2 0 2 0 1 0 1 2 A2 = |2 0 1 1 2 0/ (b) Let A be the matrix you chose in part (a). Compute A?. Check that A? e C3, and write out a brief explanation (one or two sentences is enough) explaining how you checked.
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