Question

Produce the row echelon form of the augmented matrix for the given
system of equations. Specify the elementary row operations used to
produce the matrix. Then give a (possibly parametrized) expression
for all solutions in vector form. If a solution does not exist, say so.
Finally, give the rank of each coefficient matrix.

(a) The system of equations 5y 25 7y 10 KU) e system ul equaliuus 2s 3 42 11 r 5y 2: 10 41: (c) The sysuem ul equalions 3r 2y 15 (d) The system ul equaliuns 22 (e) The system of equations Ar 12: 25 (I) e system ul equations Ar 122 30 8z (g) The system of equations 2a 5 42 2/

Show transcribed image text (a) The system of equations 5y 25 7y 10 KU) e system ul equaliuus 2s 3 42 11 r 5y 2: 10 41: (c) The sysuem ul equalions 3r 2y 15 (d) The system ul equaliuns 22 (e) The system of equations Ar 12: 25 (I) e system ul equations Ar 122 30 8z (g) The system of equations 2a 5 42 2/