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MATH 54 QUIZ 4-
1. Suppose is the standard matrix for an invertible linear transformation S : R2 → R2 and is the standard matrix for a linear transformation T : R2 → R2. Find the standard matrix for S-1 o T o S.
2. Let . Find a basis for Col(A) and a basis for Nul(A).
how to describe the locus of the equation x^2+6xy+y^2+z^2=1 in cylindrical polar coordinates?
Calculate the flux of the vector field = 3 + 6 through a square of side 6 lying in the plane x + y + z = 10 oriented away from the origin.
in each of the following situations state whether or not the given assignment of probabilities to given outcomes is
If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
If BCD and EFGH are rectangles with AB=10cm,BC=7cm,EF=7cm and FG=4cm,all figures accurate to the nearest cm. Find (a)the largest and (b)the smallest possible values of the shaded area.
The hardware store sells sparklers for the 4th of july . The charge 19 cents apiece. The fireworks stand charges 85 cents for four. Which is the better deal? How can you tell ?
Augmented matrices to solve the equations
thrree displacements are a 200 m due south b 250 m due west c 150 m 30.0deg east of north. construct a separate
The material for the top and bottom cost cents per square cm and the material for the side costs 1 cent per square cm. What dimensions should it have so as to minimize the cost of the materials?
Maris Corporation acquired a patent on May 1, 2008. Maris paid cash of $25,000 to the seller. Legal fees of $1,000 were paid related to the acquisition. What amount should be debited to the patent account?
We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem.
Let G be a group and let φ: S3 → G be a non-trivial homomorphism. Suppose φ is not injective. Find the kernel of φ. If φ is surjective, what is G
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