Recall the connections between the fundamental subspaces and the correspond- ing orthogonal complements: • (row(A))- = null(A) • (col(A))- = nul1(AT) (null(A))- : = row(A) (null(A"))- = col(A) where A E Rmxn. Compute a basis for the orthogonal complement of span{ |3 6 }. (these two 2 vectors are both column vectors).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Recall the connections between the fundamental subspaces and the correspond-
ing orthogonal complements:
• (row(A))- = null(A)
%3D
• (col(A))- = null(AT)
• (null(A))- = row(A)
(null(A")) = col(A)
%3D
where A E Rmxn.
2.
6 }. (these two
2
Compute a basis for the orthogonal complement of span{ | 3
vectors are both column vectors).
Transcribed Image Text:Recall the connections between the fundamental subspaces and the correspond- ing orthogonal complements: • (row(A))- = null(A) %3D • (col(A))- = null(AT) • (null(A))- = row(A) (null(A")) = col(A) %3D where A E Rmxn. 2. 6 }. (these two 2 Compute a basis for the orthogonal complement of span{ | 3 vectors are both column vectors).
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