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Question: 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).
Use the indicated property to write an expression that is equivalent to the following expression.
suppose you are an event coordinator for a large performance theater. one of the hottest new broadway musicals has
Choose two bases of V3(R) they should have no vectors in common and neither of them should contain multiples of the standard basis vectors e1, e2, e3.
A company owns 300 laptops. Each laptop has an 7% probability of not working. You randomly select 20 laptops for your salespeople.
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)
the size of shoe a person needs varies linearly with the length of his or her foot.the smallest adult shoe size is size
which of the following is the solution to system3x 4y 7x 2y 2answerx 6 y -2 x 5 y -2 x 4 y -12 x 3 y
The shape of a hill is given by z = 1000 - 0.02x^2 - 0.01y^2. Assume that the x-axis ispointing East, and the y-axis is pointing North, and all distances are in metres.3 marks (a) What is the direction of the steepest ascent at the point (0, 100, 900..
The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
(a) Is the system inconsistent, or are the equations dependent, or neither? (b) Is the graph a pair of intersecting lines, a pair of parallel lines, or one line? (c) Does the system have one solution, no solution, or an infinite number of solutions
Illustrate why the A and B are symmetric
You purchase shares of a technology company and hold them for one yer. During that time the price pershare ranges from $64 to $143. Write an absolute value inequaity to represent the stock prices for that years.
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