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Math 408Homework Set 1 SolutionsLinear Algebra Review Problems(2) Represent the linear span of the four vectors(3) Compute a basis for nul (AT)⊥whereAis given byA=1-123011-221701-215.(4) Find the inverse of the matrixB=-1-4102162-2.(5) Solve the following system of linear equationsx1+2x2=1-x1-4x2+x3=22x2+x3=0.1
(6) Determine whether the following system of linear equations has a solution or not.11000-101100-1-101000-1-1x1x2x3x4x5=12-20.