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If you were to solve the following system of equations by using a matrix, 4x-y=16 and 2x+3y=-18, what would the coefficient matrix be?

a. 4 -16                                     c. 4 -1
     2 -18                                         2 3
                                                   
b. 4 -1 -16                                 d. 4 2 
     2 3 -18                                      -1 3

2 Answers

5 votes
okay the final answer would be C

User Jos Dirksen
by
8.4k points
5 votes

Answer: The correct option is

(c)
\begin{pmatrix}4&-1\\2&3\end{pmatrix}.

Step-by-step explanation: We are given to select the correct coefficient matrix if we were to solve the following system of equations by using a matrix :


4x-y=16\\\\2x+3y=-18

We know that,

while writing coefficient matrix, the coefficients of x are written in the first column and coefficients of y are written in the second column.

The constant terms are not included in the coefficient matrix.

Therefore, the coefficient matrix for the given system of equations will be


\begin{pmatrix}4&-1\\2&3\end{pmatrix}.

Option (c) is Correct.

User Pocorschi
by
8.1k points

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