Determine the value(s) of h such that the matrix is the augmented matrix of a co

Question

Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The matrix is the augmented matrix of a consistent linear system if

hequals=nothing.

(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)

B.

The matrix is the augmented matrix of a consistent linear system if

hnot equalsnothing.

(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)

C.

The matrix is the augmented matrix of a consistent linear system for every value of h.

D.

The matrix is not the augmented matrix of a consistent linear system for any value of h.

Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 25 10 h 2 5

Explanation / Answer

After the row operation R1+5R2, the given matrix changes to

0

0

h+25

-5

-2

5

Thus, the given matrix is the augmented matrix of a consistent linear system if h = -25.

Option A is the correct answer.

0

0

h+25

-5

-2

5

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