Solved: State ( with a brief explanation) whether the following statements are true or
Chapter 3, Problem 28(choose chapter or problem)
State ( with a brief explanation) whether the following statements are true or false for square matrices A, B, and C of the same size. (a) IA2 1 = ( IAI ) 2 . (b) If a diagonal matrix A is singular then at least one diagonal element is zero. (c) If IAI = 1 then A-1 = adj{A). (d) If IA - Bl = 0 then IAI = IBI. ( e) If A is nonsingular it is row equivalent to the identity matrix.
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