answer:To compute the square of a matrix, we need to multiply the matrix by itself. So, A^2 = A cdot A = left( begin{array}{ccc} 3 & -2 & 2 -3 & 0 & 2 1 & -1 & 3 end{array} right) cdot left( begin{array}{ccc} 3 & -2 & 2 -3 & 0 & 2 1 & -1 & 3 end{array} right). We can compute the product of the two matrices as follows: left( begin{array}{ccc} 3 & -2 & 2 -3 & 0 & 2 1 & -1 & 3 end{array} right) cdot left( begin{array}{ccc} 3 & -2 & 2 -3 & 0 & 2 1 & -1 & 3 end{array} right) = left( begin{array}{ccc} 3 cdot 3 + (-2) cdot (-3) + 2 cdot 1 & 3 cdot (-2) + (-2) cdot 0 + 2 cdot (-1) & 3 cdot 2 + (-2) cdot 2 + 2 cdot 3 -3 cdot 3 + 0 cdot (-3) + 2 cdot 1 & -3 cdot (-2) + 0 cdot 0 + 2 cdot (-1) & -3 cdot 2 + 0 cdot 2 + 2 cdot 3 1 cdot 3 + (-1) cdot (-3) + 3 cdot 1 & 1 cdot (-2) + (-1) cdot 0 + 3 cdot (-1) & 1 cdot 2 + (-1) cdot 2 + 3 cdot 3 end{array} right) Simplifying this expression, we get: A^2 = left( begin{array}{ccc} 17 & -8 & 8 -7 & 4 & 0 9 & -5 & 9 end{array} right). The answer is A^2 = left( begin{array}{ccc} 17 & -8 & 8 -7 & 4 & 0 9 & -5 & 9 end{array} right).

answer:To solve a Sudoku puzzle, look for a column, row, or diagonal that has only one square filled in. Add up the numbers in the filled-in squares in that column, row, or diagonal. All other columns, rows, and diagonals must have the same sum. So, whenever there is a column, row, or diagonal with only one missing value, you can add up the others and calculate the missing value. Continue this process until the entire puzzle is filled in.

answer:Classification: Ellipse Equation in standard form: 10 left(x+frac{3}{20}right)^2+6 left(y-frac{1}{12}right)^2=frac{109}{15} Foci: left( begin{array}{cc} -frac{3}{20} & frac{1}{60} left(5-4 sqrt{109}right) -frac{3}{20} & frac{1}{60} left(5+4 sqrt{109}right) end{array} right) Eccentricity: sqrt{frac{2}{5}} Center: left{-frac{3}{20},frac{1}{2} left(frac{1}{60} left(5-4 sqrt{109}right)+frac{1}{60} left(5+4 sqrt{109}right)right)right} Area Enclosed: frac{109 pi }{30 sqrt{15}}

answer:To calculate the list price, we can use the formula: List Price = Actual Cost / (1 - Trade Discount) Given that the actual cost is 25,000 and the trade discount is 15% (or 0.15), we can substitute these values into the formula: List Price = 25,000 / (1 - 0.15) List Price = 25,000 / 0.85 List Price = 29,411.76 (rounded to the nearest cent) Therefore, the list price of the steel would be 29,411.76.