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 2021-02-05 Answered
Write the given matrix equation as a system of linear equations without matrices.
[4723][xy]=[31]
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

2abehn
Answered 2021-02-06 Author has 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

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-01-27 Author has 2070 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-01-31
Find a basis for the space of 2×2 diagonal matrices.
Basis ={[],[]}
asked 2021-02-08
Let B be a 4x4 matrix to which we apply the following operations:
1. double column 1,
2. halve row 3,
3. add row 3 to row 1,
4. interchange columns 1 and 4,
5. subtract row 2 from each of the other rows,
6. replace column 4 by column 3,
7. delete column 1 (column dimension is reduced by 1).
(a) Write the result as a product of eight matrices.
(b) Write it again as a product of ABC (same B) of three matrices.
asked 2020-12-03
Find the characteristic polynomial of the matrices
[2113]
asked 2020-10-27
If possible, find scalars c1,c2, and c3 so that
c1[123]+c2[111]+c3[141]=[223]
asked 2021-02-16
If 3[x1x2x3x4]=[x1214x4]+[4x1+x2x3+x43]
1. x1=2,x2=2,x3=2,x4=3
2. x1=2,x2=2,x3=2,x4=3
3. x1=2,x2=2,x3=2,x4=3
4. x1=2,x2=2,x3=2,x4=3
5, x1=2,x2=2,x3=2,x4=3
asked 2021-06-18

Substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramer's rule. Use each method at least once when solving the systems below. include solutions with nonreal complex number components. For systems with infinitely many solutions, write the solution set using an arbitrary variable.
2x+3y+4z=3
4x+2y6z=2
4x+3z=0

asked 2021-12-05
Show that if A and B are similar matrices, then det(A)=det(B).