Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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Transcribed Image Text:(a)
(b)
4
(i) Find the inverse of the (common) coefficient matrix of the two systems.
A-¹ =
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹B where B represents the right hand side (i.e. B =
and B =
for system (b)).
Solution to system (a): x =
, y =
Solution to system (b): x =
y =
2x + 5y
3x +9y
2x + 5y
3x +9y
1
-3
1
77
-3
for system (a)
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