Determine the values of h such that the matrix is

rompentskj

rompentskj

Answered question

2021-11-23

Determine the values of h such that the matrix is the augmented matrix of a consistent linear system.
[1h52615]

Answer & Explanation

Witionsion

Witionsion

Beginner2021-11-24Added 19 answers

As follows is the augmented matrix:
[1h52615] 
The echelon form of this augmented matrix
Consider 
[1h52615] 
R2R2+2R1 
[1h506+2h5] 
This system is inconsistent if and only if 
6+2h=0 
2h=6 
h=3 
Hence this system is consistent if and only if h3 
Therefore option (A) is correct.

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