Find the inverse of the matrix, if it exists.

Writing a matrix equation that is equivalent to the given system of linear equations, solve the system using the inverse matrix.

Let

Does   equal  ?

Find the inverse of the matrix, if it exists.

Find the inverse of the given matrix, if it exists. Verify your answer.

Three network consultants , Alan, Maria and Steven, each received a year-end bonus of $10,000, which they decided to invest in a 401K retirement plan sponsored by their employer. Under this plan, each employee is allowed to place their investment in three funds – an equity index fund (I), a growth fund (II) and a global equity fund (III).The allocations of the investments in dollars of the three employees at the beginning of the year are summarized in the matrix.

The returns of the three funds after one year are given in the matrix:

Which employee realized the best interest on his or her investment for the year in question?  The worst return?

A dietitian plans a meal around three foods. The number of units of vitamin A, vitamin C and calcium in each ounce of these foods is represented by the given matrix M, where

The matrices A and B represent the amount of each food (in ounces) consumed by a girl at two different meals, where:

Calculate .

William and Michael`s stock holdings are given by the matrix:

At the close of trading on a certain day, the prices (in dollars per share) of the stocks are given by the matrix:

Find AB.

Matrix A gives the percentage of eligible voters in the city of Newtown, classified according to party affiliation and age group.

The population of eligible voters in the city by age group is given by the matrix B:

Find a matrix giving the total number of eligible voters in the city who will vote Democratic, Republican and Independent.