Mathematics Homework Solutions

Augmented Matrix

Write the augmented matrix of the system. See attached file for full problem description. 2x1 -3x2 + x3 = 0 x1 - x2 - 2x3 = -2 -5x1 + x2 = -4

Perform the Row Operation

See attached file for full problem description. Perform the row operation R2 = (-2)r1 + r2 on the matrix

Matrix multiplication

Please see attached. A = [4 3; 0 1]; B = [1 0 2; 2 -1 0]; calculate A * B

Find the Inverse Of

See attached file for full problem description.

Simplex Method

See attached file for full problem description.

Equation of a Line

See attached file for full problem description.

Parallel treatments of a frequency distribution and a probably distribution

Parallel treatments of a frequency distribution and a probably distribution. Please see questions a, b, and c at the bottom of the attachment. Can you help?

Linear Equations:Predicted sales of a company

Suppose the sales of a company are given by S(x) = $200x + $20,000 where x is measured in years and x = 0 corresponds to the year 1996. Find the predicted sales in the year 2002 assuming the trend continues.

Break-even point

A manufacturer produces items at a daily cost of $1.25 per item and sells them for $2 per item. The daily operational overhead is $450. What is the break-even point?

Linear Equation

Determine whether this system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down. y = x x + z = 4

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