Question

Solve the following system using augmented matrux methods -3x+6y = 0 -4x +6y = 0 a)...

Solve the following system using augmented matrux methods

-3x+6y = 0

-4x +6y = 0

a) The initial matrix is:

b) First, perform the Row Operation 1/-3R1->R1. The resulting matrix is:

c) Next, perform the operation +3R1+R2->R2. The resulting matrix is:

d) Finish simplifying the augmented matrix. The reduced matrix is:

e) How many solutions does the system have?

f) What are the solutions to the system?

x =

y =

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Homework Answers

Answer #1

a) The initial matrix is: As per the operation in step C, coefficient of x should be -3 for second equation

b) First, perform the Row Operation 1/-3R1->R1. The resulting matrix is:

c) Next, perform the operation +3R1+R2->R2. The resulting matrix is:

d) Finish simplifying the augmented matrix. The reduced matrix is:

e) How many solutions does the system have?

Infinite Many solutions

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