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Consider the system of linear equations
X + ay = 1
2x + 8y = b
Where a and b are real numbers.
(a) Write out the augmented matrix for this system of linear equations.
(b) Use elementary row operations to reduce the augmented matrix to row-echelon form.
(c) Determine for what values of a and b does the system have infinitely many solutions.
(d) Determine for what values of a and b does the system have no solution.
(e) Determine for what values of a and b does the system have an unique solution.
Determine the value of the unknown side of a right triangle: The two legs of a right triangle are 5 ft and 12 ft. How long is the hypotenuse? Now Let the hypotenuse be c ft.
Properties of Cross product If u, v and w are vectors and c is a number then u → * v → = -v → * w → (cu → ) * v → =
What is a Function, Anyway? Domain? Range? Next time you're at a fast-food restaurant, take a look at the price list. It may look something like this: • Hamburger.............
Determine the equation of the tangent line to r = 3 + 8 sinθ at θ = Π/6. Solution We'll first need the subsequent derivative. dr/dθ = 8 cosθ The formula for the deriv
Differentiate following functions. h (t ) = 2t 5 + t 2 - 5 / t 2 We can simplify this rational expression as follows. h (t )
can you help me
Speaking Mathematically : A Class 2 teacher was explaining the concept of place value to his students, using the number eleven. He started by saying "One and one make eleven." So
find the area of this figure in square millimeter measure each segment to the nearest millmeter
(a) Find an example of groups G, H, K with K H and H G but K G. (b) A subgroup H of G is characteristic if σ(H) ⊆ H for every group automorphism σ of G. Show that eve
WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357
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