Q3: Let L: R4 → R³be the linear transformation defined by In. uz L [U1 + u2] = u3 + U4 Uz [u1 + u3] [u4. Prove dim (Ker(L)) + dim (Range(L)) = dim (V) %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q3: Let L: R* → R³be the linear transformation defined by
[u1 + u2]
uz
= u3 + u4
u3
[u1 + U3]
[u4.
Prove dim (Ker(L)) + dim (Range(L)) = dim (V)
Transcribed Image Text:Q3: Let L: R* → R³be the linear transformation defined by [u1 + u2] uz = u3 + u4 u3 [u1 + U3] [u4. Prove dim (Ker(L)) + dim (Range(L)) = dim (V)
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