Math 54Practice Midterm 2 SolutionsSeptember24,20183. (10 points) Label the following statements as either true or false.(a) (2 points) Every matrix can be row reduced into a unique row echelon form.(b) (2 points) IfAis a square matrix with det(A) = 2, then det(A-1) =12.(c) (2 points) IfT:Rn→Rmis an injective linear transformation, thenn < m.(d) (2 points) Any collection ofkvectors inRncontaining the zero vector is a linearly dependent set.(e) (2 points) LetAbe annbynmatrix such thatA2=A, thenAis invertible.
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