Question
solve the system of equations using Matrices
Ex. Score: 0 of 1 pt HW Score: 95.24% (20 of 21 pts) 21 of 21 complete Ive the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x-y= 6 3x " 52 21 Select the correot choice below and, if necessary, ill in the answer box(es) to complete your choicel el e below and, f ecesr # bondes) o The solution is ( (Simplify your answers.) fox y,z)|x-m.y=[].zis any real number). {(x,y2)(x=[], y is any real number, z is any real number) QB. There are infinitely many solutions. The solution can be written as (Simplity your answers. Type expressions using z ais the variablel) (Simplify your answers. Type expressions using z as the variable) DC There are infinitely many solutions. The solution can be written as (Simplify your answer. Type an expression using y and z as the variables.) OD.i The system is inconsistent to select and nter yowr nswert shern elck Ches nswe
Explanation / Answer
Find the pivot in the 1st column in the 1st row
Multiply the 1st row by 3
Subtract the 1st row from the 2nd row and restore it
Make the pivot in the 2nd column by dividing the 2nd row by 3
Multiply the 2nd row by -1
Subtract the 2nd row from the 1st row and restore it
Multiply the 2nd row by 3
Subtract the 2nd row from the 3rd row and restore it
Make the pivot in the 3rd column by dividing the 3rd row by 9
Multiply the 3rd row by -5/3
Subtract the 3rd row from the 1st
Subtract the 3rd row from the 2nd row and restore it
Solution set:
x1 = 7
x2 = 1
x3 = 0
so system is consistent. and x,y,z =(7,1,0)
X1 X2 X3 b 1 1 -1 0 6 2 3 0 -5 21 3 0 3 4 3