Topic 7 Week 2 Flashcards

The Periodic Table of Elements

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linear algebra

Apply the alternative form of the Gram-Schmidt orthonormalization process to find an orthonormal basis for the solution space of the homogeneous linear system.

x_1 - x_2 + x_3 +x_4 = 0\\x_1 - 2x_2 + x_3 +x_4 = 0

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linear algebra

For the given problem, show that $A$ is unitary, and determine $A^{-1}$ .

A=\left[\begin{array}{cc}\frac{1+i}{2} & -\frac{1+i}{2} \\\\ \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}}\end{array}\right]

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statistics

Three confidence intervals for the mean shear strength (in ksi) of anchor bolts of a certain type are computed, all from the same sample. The intervals are (4.01, 6.02), (4.20, 5.83), and (3.57, 6.46). The levels of the intervals are 90%, 95%, and 99%. Which interval has which level?

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prealgebra

Find each probability for one roll of a number cube.