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Find a 2 × 2 nonsingular matrix T representing a linear map t : R2 → R2 such that no matter what basis B you choose, the representation RepB,B(t) is not a diagonal matrix. How do you know?
Discuss ways to estimate the number of radio stations on the air in 1975. Compare your estimates with the actual value of 7700 stations. Repeat this estimate for the 1985 and compare it to the actual value of 10,400. Discuss your results.
On 3 consecutive passes a football team gains 7 yards, loses18yards, and gains 46 yards. What number represents the total net yardage?
If k = L = m = 0, explain why the system must be consistent. What can be said about the point of intersection of the three lines if the system has exactly one solution?
A firm is engaged in the production of three types of products A, B, and C. The products earn profit of $3, $5 and $4 per unit respectively. Each product goes through three operations: cutting, sewing, and inspection.
Three points are defined as follows: A(-2 , 1), B(6 , 1) and C(-2 , 7). a) Find the midpoint M of segment BC. b) Find the lengths of the line segments MA, MB and MC.
Estimate whether the system is inconsistent or consistent
Consider two vectors a and b with elements a1,a2,a3 and b1,b2,b3 respectivley. Express the projection of b onto a in terms of these elements. Then do the same for the projection of a onto the axis of b.
Computing the algebraic expression.
what are three laws of exponents for multiplication division and powers? write and explain each law. why do we use
in what ways is solving inequalities the same as solving equations and in what ways is it different? also include at
bacterial growthas a medical research technician you have been assigned the task of modeling the growth of five
Find the stable range of gains. Using MATLAB, plot: Bode plot (gain margin, phase margin). Nyquist plot (gain margin, phase margin). Root Locus.
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