Mathematics, 11.02.2020 22:58 herchellann302
In each of Problems 7 through 11, determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among then. The vectors are written as row vectors to save space but may be considered as column vectors that is, the transposes of the given vectors may be used instead of the vectors themselves. x^(1) = (1, 1, 0), x^(2) = (0, 1, 1), x^(3) = (1, 0, 1) x^(1) = (2, 1, 0) x^(2) = (0, 1, 0), x^(3) = (-1, 2, 0) x^(1) = (1, 2, 2, 3), x^(2) = (-1, 0, 3, 1), x^(3) = (-1, 2, 0) x^(4) = (-3, t-13) x^(1) = (1, 2, -1, 0), x^(2) = (2, 3, 1, -1), x^(3) = (-1, 0, 2, 2), x^(4) = (3, -1, 1, 3) Suppose that each of the vectors x^(1), ..., x^(m) has n components, where n < m. x^(1), ...x^(m) are linearly dependent. In each of Problems 13 and 14, determine whether the member of the given of vectors linearly independent for -infinity < t < infinity. If they are linearly dependent, find the linear among them. As in Problems 7 through 11, the vectors are written as row vectors to save space x^(1) (t) = (e^-t, 2e^-t), x^(2) (t) = (e6-t, e^(-t), x^(3) (t) = (3e^-t, 0) x^(1) (t) = (2 sin t, sin t), x^(2) (t) = (sin t, 2 sin t)
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Mathematics, 21.06.2019 19:40
Ascatter plot with a trend line is shown below. which equation best represents the given data? y = x + 2 y = x + 5 y = 2x + 5
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Mathematics, 21.06.2019 21:00
Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.
Answers: 1
In each of Problems 7 through 11, determine whether the members of the given set of vectors are line...
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