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For A, B ∈ Mn(F) and s ∈ F, show that: i) tr(A + B) = tr(A) + tr(B); ii) tr(sA) = s⋅tr(A); and iii) tr(AB) = tr(BA), where tr(A) is the trace of A.
D2. Explain the relationship between the x and y intercepts and the general form of a quadratic function. Then demonstrate this relationship in the following:
How do you convert from a colspace into a nullspace?
They'll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on the map how many kilometers is the actual path?
Find the homogenous linear systems.,
Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why.
Using compound interest formula.
Explain the difference between a function and a relation. Consider the equation x 2 + y 2 = 5 and explain why you believe it's a function or not? Give at least two reasons to support your answer.
Explain how Euler concludes from 1) that pi^2/6=1+1/4+1/9+1/16 ... . Compare the formula in 2) to Archimedes' calculation for pi. Which of these methods is more efficient and why?
Find the largest square tile.
jenna figures she uses two pens per month for her school work. she started the school year with ten pens. what is the
List the terms, coefficients, and degree of the following polynomial: -4x3 + 6x2 - 5x + 1/3
the width of a rectangular painting is 3in. more than twice the height. a frame is 2.5 in. wide goes around the
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