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(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leaving the vertical component unchanged).
(b) Determine the matrix that first performs a horizontal compression by a factor 1/2 (leaving the vertical component unchanged) for a two-dimensional vector, and then rotate the resulting vector 180° anticlockwise.
(c) Are the two matrices in (a) and (b) the same? Explain why, or why not.
Solve out each of the following equations. 3( x + 5)= 2 ( -6 - x ) - 2x Solution In the given problems we will explained in detail the first problem and t
evaluate sin 15
A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs
What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems
Find the full fourier Series of e^x on (-l,l)in its real and complex forms. (hint:it is convenient to find the complex form first)
all perimeter and area
If the areas of the circular bases of a frustum of a cone are 4cm 2 and 9cm 2 respectively and the height of the frustum is 12cm. What is the volume of the frustum. (Ans:44cm 2 )
Need help figuring perimeter and area.
If a, b and c are in harmonic progression with b as their harmonic mean then, b = This is obtained as follows. Since a, b and c are in
Example of Subtraction of Fractions: 1/3 + 1/6 + 1/8 = ____ Using trial & error we could search that 24 is the LCD or smallest number in which 3, 6, and 8 will all divide w
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