Inverse Matrix

I have tried numerous times, I just don't get it. Problem: Find the Inverse [4 1] [3 1]

Operations Research : Simplex Method [P= x1 + 2x2 + x3; Contraints 3x1 + x2 + x3 <= 3, x1 -10x2 - 4x3 <=20, x1 >=0 x2 >=0 x3 >=0]

P= x1 + 2x2 + x3 Contraints 3x1 + x2 + x3 <= 3 x1 -10x2 - 4x3 <=20 x1 >=0 x2 >=0 x3 >=0

Using combinations to figure out the total number of possibilities.

There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect. How many different ways can this be done?

Determining the Probability of the Given Situation: Independent Events

The probability of a newborn baby being a girl is 0.49. If four babies are born in a hospital on one day, what is the probability that all four are girls?

Maximizing a function

The graph below shows the constraints of the objective function: P = 3x + 2y The shaded area is the set of all feasible points. Using the graph above, find the maximum value of the objective function.

Subtraction of matrices

Please see the attached file for the fully formatted problem.

Addition and subtraction of matrices

Please see the attached file for the fully formatted problems. Solve the following matrix problems.

Multiplying matrices

Find the matrix products.

Find the equation of the least squares line and graph it on the same axes. Does the line appear to be a good fit? Find and interpret the coefficient of correlation.

Consumer Debt: Bank credit card debt has risen steadily over the years. The table gives debt per household in 1994 dollars. Year (x)      1975       1980     1985     1990     1995 Debt (y)      270       650    1100    1800    3100 a.  Plot the data.  Does the graph show a linear pattern? b.  Find the equation ...continues

Matrices and Systems of Equations: Echelon Method

Solve the following systems of equations using matrices. x/5 + 3y = 31 2x - y/5 = 8 4x - y + 3z = -2 3x + 5y - z = 15 -2x + y + 4x = 14