Question: Please solve all the questions with step by step explanations. Need proper explanations of each question. Thanks 3. Find (a) a basis for, and (b)

 Please solve all the questions with step by step explanations. Need

Please solve all the questions with step by step explanations. Need proper explanations of each question. Thanks

proper explanations of each question. Thanks 3. Find (a) a basis for,

3. Find (a) a basis for, and (b) the dimension of, the solution space of the following homogeneous system of linear equations. -x+y+z=0 3x, + 3x2 + 15x3 + 11x4 = 0 i) 3x - y = 0 ii ) x1 - 3x2+ X3+ X4=0 2x - 4y - 5z = 0 2x, + 3x2 + 11x3 + 8x4 = 0

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