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For Problems 9-14, determine whether the given set
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- Solve for X in the Equation, given A=-401-532 and B=12-2144 a 3X+2A=B b 2A5B=3X c X-3A+2B=0 d 6X4A-3B=0arrow_forwardSolve the following exercises, you will need to show all your work to receive full credit. Consider the matrix, 2 1 -2 2 3 -4 1 1 1 - Knowing that f(t) = (t – 1)²(t - 2) is the characteristic polynomial, do the following: 1. find a basis of eigenvectors; 2. Find P such that P- AP is a diagonal matrix D. Give Darrow_forwardSolve the following two problems. You can use your calculator or MATLAB, but you will need to justify your argument and conclusions 1. Consider the vectors (2, 1,0, 2], [3, 1, 0, 1], [1, 1,0,-1] in R. Decide whether they are linearly independent.arrow_forward
- Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A thermometer with an initial reading of 10°C is brought outside where ambient temperature is 35°C. After two minutes, the thermometer reading was observed at 14.5°C. What is the thermometer reading after three minutes? g. What is the thermometer reading after three minutes?***Note!For your basis, here are the questions for letters a-c which have already been answered in this link (https://www.bartleby.com/questions-and-answers/please-answer-this-neatly-completely-and-correctly-for-an-upvote.-a-thermometer-with-an-initial-read/16d543cc-a0e7-48c7-9eb0-5a7ba15c9d71), and for letters d-f (https://www.bartleby.com/questions-and-answers/a-thermometer-with-an-initial-reading-of-10c-is-brought-outside-where-ambient-temperature-is-35c.-af/9640044f-c1b9-4ce7-9671-0b88629c8d44):a. What is the working equation for this problem?b. What is the temperature of the surroundings?c. What is the general solution for the given radioactive…arrow_forwardFor each of the following lists of vectors in R³, determine whether or not the first vector can be expressed as a linear combination of the other two. (a) (-2, 0,3), (1, 3,0), (2, 4, -1) (b) (1,2,3), (-3, 2, 1), (2, -1, −1) (c) (3, 4, 1), (1, -2, 1), (−2, —1, 1)arrow_forwardGet ||X||∞ and ||X||2 for the following vectors:arrow_forward
- Given that -2 1 0 0 -1 -1 -4 0. 0 2 1 -1 -1] 1 3 -2 write -4 as a linear combination of the vectors -1 -1 + +arrow_forwardExpress each of the following vectors in R² as linear combinations of the vectors [3] and [3] (a) (b) (c) (d) 7 13 H 5 5 12 22 = || = = + + + + + 5 r 3 rarrow_forward1. Write the vector H- 16 as a linear combination of the vectors and Darrow_forward
- 4. a. If 37– 2ỷ = đ and 53 – 3ỷ = b, express the vectors i and y in terms of a and b. %3D b. Solve for a, b, and c: (2, –1, c) + (a, b, 1) – 3(2, a, 4) = (-3, 1, 2c). %3Darrow_forwardDefine and x as the vectors y and x= [0.5, 1, 1.5, 2, 2.5] y=[0.8, 1.6, 2.4, 3.2, 4.0]. Then use them in the following expressions to calculate z using element-by-element calculations. (a) z = x² + 2xy 3 4 (b) z=xye*- xy +8.5arrow_forwardList a set of three vectors in R2 that spans R2 from which you can any remove any two of the vectors and still span R² with the remaining one vector. List a set of three vectors in R2 that spans R2 from which you can remove either of two particular vectors and still span R² with the remaining two vectors. However, if you remove the third vector, the remaining two vectors will not span R². State which vectors can and can't be removed. List a set of three vectors in R² that spans R² from which you can remove two particular vectors and still span R² with the remaining one vector. State which vectors can be removed. List a set of three vectors in R2 that spans R2 from which you cannot remove any one of the vectors and still span R2 with the remaining two vectors.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage