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Question (1):
Let T: R3 R3 be a linear transformation defined by
T(x, y, z) = (x + 2y - z, y + z, x + y - 2z )
Find a basis and the dimension of ( i ) Range of T ( ii) the Kernel of T
Question (2) :
If T:R4 R3 is a linear transformation defined by
T( a, b, c, d) = ( a - b + c + d, a + 2c - d, a + b + 3c - 3d) for a, b, c, d R, then find a basis for Ker T ( i.e. Null Space of T) and Range of T.
A child in an airport is able to cover 376 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion.
Explain why the quantity, s/t, is represented by the slope of a line from the origin to the point (t, s) on the graph. Estimate the time at which the quantity s/t is a maximum.
Ticket sales. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824and twice as many adult tickets as student tickets were sold, then how many of each were sold?
Solve the following systems of expression.
List the terms, coefficients, and degree of the following polynomial: -4x3 + 6x2 - 5x + 1/3
1. find the percent of change when the price of a radio changes from 40.00 to 44.00.12 10 36.4 402. find the percent of
The sum of two numbers is 54, and their difference is nine more than the smaller number. Find the numbers.
During a marathon, Kim our champion cyclist is having struggles. At the halfway checkpoint she is behind the leader, Allison by 10 miles. Kim still has a lot of energy left and pacing herself at a constant 15 miles per hour.
Determine a quadratic regression function that represents the distance the ball will travel in terms of its speed when it is hit at a 40 degree angle.
How do we write the equation of a horizontal line? What would be an example?
Write down the equation
Please note that these instructions are for MS Excel 2007 and MS Word 2007. For information on Macintosh Word shortcuts, click here.
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