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Let J be the n X n matrix of all 1's, and consider A = (a - b) I + bJ ; that is,
Confirm that det A = (a - b)n-1 [a + (n - 1)b] as follows:
a. Subtract row 2 from row 1, row 3 from row 2, and so on, and explain why this does not change the determinant of the matrix.
b. With the resulting matrix from part (a), add column 1 to column 2, then add this new column 2 to column 3, and so on, and explain why this does not change the determinant.
c. Find the determinant of the resulting matrix from (b).
A plane travels 170 miles on a bearing of N 18 degrees E and then changes its course to N 49 degrees E and travels 120 mi . find the total distance traveled north and the east.
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)=3x^2 at x=1
a survey involving 600 men and 400 women from a township revealed that 300 of all the people were smokers of which 220
The result is then folded in the obvious fashion. (If it isn't obvious, order one with sausage and pepperoni and invite you TA and UA to investigate.) How does one obtain the box of largest volume?
Mayall Corporation is developing standards for its products. Each unit of output of the product requires 0.92 kilogram of a particular input. The allowance for waste and spoilage is 0.02 kilogram of this input for each unit of output.
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
Determine whether f(x) represents a polynomial function. If possible, identify the degree and type of polynomial function. f(x)=4-7x
the perimeter of a rectangle is 54 feet. describe the possible lengths of a side if the area of the rectangle is not to exceed 152 square feet.
Gary wants his savings to last exactly 25 years. How much money can he withdraw each month?
Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
If the perimeter of a retangle is 700 meters and the length if twice plus 50 meters of with width what is the algebraic formula to calculate the answer?
Write an equation. During the 1998-1999 Little League season, the tigers played 51 games. The number of games they won was 17 more than the number of games they lost. How many games did they win that season
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