SOLUTION: Consider the following system of equations:
2x + 3y = 1
5x + 9y = 4
(a) Write the system of equations as a matrix equation AX = B.
(b) Calculate A
−1
.
(c) Solve
Algebra.Com
Question 1037171: Consider the following system of equations:
2x + 3y = 1
5x + 9y = 4
(a) Write the system of equations as a matrix equation AX = B.
(b) Calculate A
−1
.
(c) Solve AX = B using your result from part (b).
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
(a) The system
2x + 3y = 1
5x + 9y = 4
is equivalent to the matrix equation
, with
(b) The matrix is nonsingular since its determinant is . Its inverse is given by
(c) = = , after left-multiplying both sides of the equation by and simplifying.
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