4/25/2023 0 Comments Rational numbers exercises![]() (h) If the reduced row echelon form of the augmented matrix for a linear system has a row of zeros, then the system must have infinitely many solutions. (g) If a homogeneous linear system of $n$ equations in $n$ unknowns has a corresponding augmented matrix with a reduced row echelon form containing $n$ leading I's, then the linear system has only the trivial solution. (f) If every column of a matrix in row echelon form has a leading 1, then all entries that are not leading I's are zero. (e) All leading 1 's in a matrix in row echelon form must occur in different columns. (d) A homogeneous linear system in $n$ unknowns whose corresponding augmented matrix has a reduced row echelon form with $r$ leading I's has $n-r$ free variables. $\left[\begin $$ has exactly one solution. (a) Prove that if $a d-b c \neq 0,$ then the reduced row echelon form of
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