Question

x - y + 2z + w = +4

-2x + 3y = -4

x + y + z - 4w = +3

Rewrite linear system as matrix

Answer 1

can be equations a co coefficient A system of linear represented in matrix form using matrice, a variable matrix and a matrix. constant Let ana ta 2 X₂ + tainen xn = bi Azi, t az2 Xzt t azn zu 162 2 amira + am 2x2+ + amnan 2 bu be a linear system of equation system be coritten as can The's AX = B

where au a12 A ain is the azi azz aan coefficient matres. ami ama amn mxn x x = is variable matrix xu bi and B > be is the constant matrin <- bm Our given system is + 27 + W +4 - 2x - 4 x-Y +3y a tytz system -4W =+3 written as be can This = x-y +2Z + W +4 =-4 22 t toz tow +3y ty xt + Z = 4 W 2 + 3 - 1 2 A = ON -2 coefficient matrex 3 Here 1 Į 1 matrex X The variable and Y Z W 1+ 4 -4 the constant matre's B a +3 The matrix 's form of the given linear is system 1 -1 2 y +4 -4 2 3 :)8) - + 3 1 1