2x3 1. Consider the inner product space (R2׳, (.,-)), where 2 3 (A, B)=ajbij, VA, B € R2×3 i=1 j=1 Let and define the set C = 1 2 0 000 8), D = (8 = (8 33 1), 0 0 S = {A € R2×3 | A is orthogonal to both C and D}, which can be shown to be a subspace of R2×3. Find a basis for S.
2x3 1. Consider the inner product space (R2׳, (.,-)), where 2 3 (A, B)=ajbij, VA, B € R2×3 i=1 j=1 Let and define the set C = 1 2 0 000 8), D = (8 = (8 33 1), 0 0 S = {A € R2×3 | A is orthogonal to both C and D}, which can be shown to be a subspace of R2×3. Find a basis for S.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 94E
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Transcribed Image Text:2x3
1. Consider the inner product space (R2׳, (.,-)), where
2 3
(A, B)=ajbij, VA, B € R2×3
i=1 j=1
Let
and define the set
C =
1 2 0
000
8), D = (8
= (8 33 1),
0 0
S = {A € R2×3 | A is orthogonal to both C and D},
which can be shown to be a subspace of R2×3. Find a basis for S.
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