Write the given matrix equation as a system of linear equations without matrices. begin{bmatrix}4 & -7 2 &-3 end{bmatrix}begin{bmatrix}x y end{bmatrix}=begin{bmatrix}-3 1 end{bmatrix}

Clifland

Clifland

Answered question

2021-02-05

Write the given matrix equation as a system of linear equations without matrices.
[4723][xy]=[31]

Answer & Explanation

2abehn

2abehn

Skilled2021-02-06Added 88 answers

Step 1
When the system of equations is given in the matrix form , then to write the equation we find the dot product of the variable matrix and the coefficient matrix , then equating it to the constant matrix will give the resultant matrix.
The system of equations in matrix form is given as,
AX=B
Where,
A= The coefficient matrix
X= The variable matrix
B=The constant matrix
Step 2
The given system of equations in matrix form is,
[4723][xy]=[31]
Using dor product the resulting equations are,
4x7y=3
And,
2x3y=1
therefore , the equations are,
4x7y=3
2x3y=1

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-23Added 2605 answers

Answer is given below (on video)

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