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1. You are given the following system of linear equations:3x - 2y + z = 2
-x + y = 3
-2y + 6 = -1
Provide a coefficient matrix corresponding to the system of linear equations.
What is the inverse of this matrix?
What is the transpose of this matrix?
Find the determinant for this matrix.
Calculate the following for
A * B-3AA-1
2.Solve the following linear system using Gaussian elimination.Show work.
2y + z = 4
x+ y +z = 6
2x + y + z = 7
3. Solve the following linear system for x using Cramer's rule.Show work.
4x - y + z = -5
2x + 2y + 3z = 10
5x - 2y + 6z = 1
Your bridge design has two towers, each with height (h) of 300 ft above the road. Two suspension cables connect the two towers. The equation modeling the shape of these cables is parabolic.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Tomorrow is going to be a hot one. Right now the temperature is 87 degrees and it will fluctuate at least 11 degrees by 3pm. What is the range of possible temperatures it could be at 3 pm.
Resolve the following problems of regression and ANOVA. Please use the statistics program to resolve the problems below. Please explain your answers.
Word problems on exponential function
Express as a polynomial
Probability of selecting letters.
Write an equation that models how old in years each of you will be, when your ages add up to 150 years old. For example, if x = your age and the eldest person was a year older than you,
A dart board has regions worth a points and b points, where a and b are positive integers with no common factors. What is the largest point total that cannot be obtained by throwing darts at the board?
Consider the quadratic expression representing displacement of an object thrown toward earth at an initial velocity of 32 ft / sec from a height of 128 ft.
i3939m struggling with this questions. please answer the questions and give examples so i can understand. ltbrgt
Find the interval(s) on which f(x) increases, given that f(x) = x3 - 12x + 1. Find the interval(s) on which f(x) increases, given that f(X) =- 2x (25x2 + 75 + 72).
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