For a natural number n, letC, = {(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 2VA1 = |1 2 02 0 10 1 2A2 = |2 0 11 2 0/(b) Let A be the matrix you chose in part (a). Compute A?. Check that A? e C3, andwrite out a brief explanation (one or two sentences is enough) explaining howyou checked.

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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.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 77E

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Question

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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