Please help and show work 1 point Let A be a 3 x4 matrix wit

Please help and show work.

(1 point) Let A be a 3 x4 matrix with reduced row echelon form given by 1 0 3 1 U 0 1 1 -1 If ali 1 and a -1 0 0 0 0 find a3 and a4 a3

Solution

Linear relation between the columns of a matrix and its row reduced columns of a matrix remains preserved

=> a₃ = 3a₁ + a₂

=> a₃ = 3 < 1 , -1 , -2 > + < -1 , -1 , 2 > = < 2 , -4 , -4 >

=> a₄ = a₁ - a₂

=> a₄ = < 1 , -1 , -2 > - < -1 , -1 , 2 > = < 2 , 0 , -4 >