Find the sum of the 5th roots of unity
The 5th roots of unity are the solutions to the equation $x^5 = 1$. These roots are complex numbers that lie on the unit circle in the _______ ____ ___ ________ ____ ____ __________ ___ ________.
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Is Cramer's Rule applicable for solving the linear system below? If yes, apply it. Otherwise, alter the last equation in the system so that the solution can be obtained by applying the Rule.
x + y + z = π
– πχ + π + √2z = 0
π²x + π²y + 2z = 0.
Apply the Gaussian elimination process to determine values of λ for which the following linear system is consistent:
x-3y+4=0, 3x - 2y = λ, y = 6-2x.
Draw a Venn diagram of sets A, B and C where A⊆B, A∩C, BOC≠ φ.B, ∩ C = φ. What is the universal set you have chosen? Justify your choice of sets in the diagram.
Express in standard (algebraic) form. Further, give an Argand diagram
in which and
are plotted
Let x ∈ R such that 0 < x ≤ x ≤...≤x, n ≥2, and
Then show that
Draw a Venn diagram of sets B,A and C where
What is the universal set you have chosen? Justify your choice of sets in the diagram.
Show that