Matrices Answers

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it takes 8 hours to paint the room. Tom and George, working together, take 6 hours to paint the room. How long would it take Tom to paint the room alone? Hint: Write the system of equations shown below in augmented form, then solve the system for T (Tom's painting rate). Next, use the equation Painted Area = Painting Rate× Time and solve for Time to determine how long it would take Tom to paint the room alone.

Write the augmented matrix for each system of equations.a.c.b.d.

Write the augmented matrix for each system of equations.a.c.b.d.

Lillian borrows $10,000. She borrows some from her friend at 8% annual interest, twice as much as that from her bank at 9%, and the remainder from her insurance company at 5%. She pays a total of $830 of interest for the first year. How much did she borrow from the insurance company?

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.a.c.b.d.