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Given the matrix A and its reduced row echelon form R, answer the following questions. 4...

Given the matrix A and its reduced row echelon form R, answer the following questions. 4 A 1 0 3 0 3 3 1 1406 1 1 4 1 8 2 1 7

Given the matrix A and its reduced row echelon form R, answer the following questions. 4 A 1 0 3 0 3 3 1 1406 1 1 4 1 8 2 1 7 2 13 9 R= 1 0 3 0 3 3 0110 31 000121 1000000 5 Find a basis for the column space of A and the row space of A. Ao Basis for column space of A: with a comma-separated list of vectors enclosed with braces {}. Use vector notation <11, 22,..., Em >. Express your basis using set notation 10 Basis for row space of A a comma-separated list of vectors enclosed with braces {}. Use vector notation <11,12, -, In >. Express your basis using set notation with Calculate each of the following. rank(A) = nullity(A) - nullity (AT) = Find a vector of Ro not belonging to null(A): Use vector notation <11,12, ,16
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Answer #1

Here A = 1 O 30 3 3 1 3 3 1 1 406 4 and R= O 1 1 o 1 1 4 185 o 1 2 L o 2 1 7 2 13 9 o 0 оо 0 Where R in now reedured echelonWe have. rank (A) = rank (AT) manta) = = 3 Now, 1 AT 1 2 1 1 4 4 7 w wo wo h axta on O 2 6 13 45 9 0. AT has 3 pivot column.Now the equation, An=o, is equivalent to Ra = 0 Line mit 3x3 +30s +376 = 0 2 +83 ting * 016 = 0 4 + 204 +26 = 0 303 325 306

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