True or False: T F If Ax = b is inconsistent then b cannot be in Col A T F If Ax = b is consistent for all vectors b in Rn then the linear transformation T(x) = Ax is onto Rn T F If Nul A has dimension 1 then the columns of A are linearly independent. T F If {v1, v2,..., vn} is linearly dependent, then vn can be written as a linear combination of {v1, v2,...,vn+1) T F det(A + B) = det(A) + de T F (AB)-1 = B-lA-l. T F If B is a basis for Rn and [x]B = [y]B then x = y. T F If A is an orthogonal matrix then AT = A-1
Show transcribed image textTrue or False: T F If Ax = b is inconsistent then b cannot be in Col A T F If Ax = b is consistent for all vectors b in Rn then the linear transformation T(x) = Ax is onto Rn T F If Nul A has dimension 1 then the columns of A are linearly independent. T F If {v1, v2,..., vn} is linearly dependent, then vn can be written as a linear combination of {v1, v2,...,vn+1) T F det(A + B) = det(A) + de T F (AB)-1 = B-lA-l. T F If B is a basis for Rn and [x]B = [y]B then x = y. T F If A is an orthogonal matrix then AT = A-1
