Question: 3. Decide whether the following statement is TRUE or FALSE. If TRUE, give a short explanation. If FALSE, provide an example where it does not

3. Decide whether the following statement is TRUE or FALSE. If TRUE, give a short explanation. If FALSE, provide an example where it does not hold. (a) Let A be the reduced row echelon form of the augmented matrix for a system of linear equation. If A has a row of zeros, then the linear system must have infinitely many solutions. (b) f there is a free variable in the row-reduced matrix, there are infinitely many solutions to the system.2. What condition1 if any1 must. :1, b1 6, and d satisfy for the linear system to be consistent? $1 + 20:2 + 39:3 = a 3'22 2923 b 231 49:2 5923 r: d + $1 3'22 992

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