Use the numerical representation for the month and date of today's date as elements in matrix A, where the month is the elements in the first row and the date is the elements in the second row. For example, if today's date is March 12, then matric A would be represented as: A =[0 3
1 2]

Represent the month of January (1) and the date (7) (excluding the year) the same way in a 2 by 2 matrix for matrix B. Use the two matrices to compute the following, if possible. If the computation is not possible, explain why. Show all of your work.

1. A+B

2. B-A

3. A B

4.B^-1

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to