Question: 5: Let F = ? ? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ?see

5: Let F = ? ? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ?see photo ? be the standard matrix for a linear map R 6 ? R 3 .

5a: Find a basis for its image (column space) im(F) = Col(F) ? R^3

5b: Find a basis for its kernel (null space) ker(F) = Nul(F) ? R 6

5c: Its rank dim(im(F)) equals ___ ? Its nullity dim(ker(F)) equals __?

5: Let F = ? ? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

1 2 3 5 5: Let F = 6 7 8 9 10 11 be the standard matrix for a linear map R" - R. 12 13 14 15 16 17 5a: Find a basis for its image (column space) im (F) = Col(F) C R. 5b: Find a basis for its kernel (null space) ker( F) = Nul( F) C R. 5c: Its rank dim(im(F)) equals ? Its nullity dim(ker ( F)) equals .

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