Tutorial 4 Solutions

# Tutorial 4 Solutions - Tutorial 4 SOLUTION MATH 1104 1 Do...

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Tutorial 4, SOLUTION MATH 1104 ————————————————————————————————- 1. Do the vectors 1 1 1 0 , 1 1 0 1 , 1 0 1 1 , 0 1 1 1 form a basis for R 4 ? Explain it. Solution: 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 1 2 0 0 0 3 The vectors are linearly independent since there is a pivot in each column. The vectors span R 4 since there is a pivot in each row. Since the set is linearly independent and spans R 4 , it is a basis for R 4 . ———————————————————————————— 2. Let the matrix A and its row echelon form R is given in the following. Find a basis for each of the column space of A , the row space of A , and the null space of and verify the

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Tutorial 4 Solutions - Tutorial 4 SOLUTION MATH 1104 1 Do...

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