4. Let. AC M. Each of the following statements is equivalent to two of the other three except. (a) The matrix A is product of elementary matrices. (b) The matrix A is nonsingular. (c) The lincar system Ar = b has infinitely many solutions. (d) The matrix RREF(A) has n pivots.

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
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4. Let AC M. Each of the following statements is equivalent to two of the other three except.
(a) The matrix A is product of clementary matrices.
(b) The matrix A is nonsingular.
(c) The lincar system Ar = b has infinitely many solutions.
(d) The matrix RREF(A) has n pivots.
Transcribed Image Text:4. Let AC M. Each of the following statements is equivalent to two of the other three except. (a) The matrix A is product of clementary matrices. (b) The matrix A is nonsingular. (c) The lincar system Ar = b has infinitely many solutions. (d) The matrix RREF(A) has n pivots.
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