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Linear Algebra Homework
A and B can finish a work in 8 days.
A alone can finish the work in 12 days.
How many days does B need to finish the same work himself?
Another appliance store buys 4 washers and 5 dryers from the same wholesale supplier at a total cost of $1561. Find the cost of one washer and one dryer.
find the rate of exchange for each situation. 1. growing from 1.4 meters to 1.6 meters in one year. 2. bicycling 3
Let S be the set of integers. If a, b ε S, define aRb if a + b is even. Prove that R is an equivalence relation and determine the equivalence classes of S.
Using these data, construct for x- and R-charts. Is the process in control? What other steps should the QC department follow at this point?
Assuming that all variables represent positive real numbers rewrite the following in simplified radical form
A 5lb. nut mixture is worth $2.80 per pound. The mixture contains peanuts worth $1.70 per pound and cashews worth $4.55 per pound. How many pounds of each type of nut are in the mixture?
A small company manufactures picnic tables. The weekly fixed cost is $1,200 and the variable cost is $45 per table. Find the total daily cost of producing X picnic tables. How many picnic tables can be produced for a total weekly cost of $4,800?
in how many ways can five identical rooks be placed on the squares of an 8 by 8 board so that four of them forma the corners of a rectangle with sides parallel to the sides of the board.
Find the characteristic polynomial(equation) for the matrix A. Verify that the eigenvalues for A are λ1 = 5 and λ2 = -1. State the spectrum, σA, for matrix A
In exercise (1), show that W is a subspace of V. Let { } be a basis of W. Show that { } is a basis of V.
1. Determine the spans of the following pairs of vectors and describe it geometrically: (a) v1 = (1,-1,2), v2 = (2,-1,3) (b) w1 = (1,2,-1), w2 = (-5,-10,5)
Current in a circuit: The current in a simple electrical circuit varies inversely as the resistance. If the current is 50 amps when the resistance is 10 ohms, find the current if the resistance is 5 ohms.
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