solve the system of equations using Matrices Ex. Score: 0 of 1 pt HW Score: 95.2

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

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