# Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide



## [Unique decomposition and coverage in R3](/en/derivations/derivation-mko-direct-sum-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-direct-sum)

R3=span{e1} direct-sum span{e2,e3}, with uniqueness and coverage separately verified.

Direct sum of subspaces

derivation-mko-direct-sum-01





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