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For Problems 1-7, determine whether the given set
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- If Ax = Bx for some nonzero vector x, then the matrices A and B must be equal.arrow_forwardHere you have to show that for the given A and B matrix in the question (AB)-1 = B-1 A-1arrow_forwardFor parts: a,b,c,d,e Job Title Salary Large Company US Employer Remote Data Science Consultant 64369 1 0 1 Head of Data Science 85000 0 0 0 Head of Data 230000 1 0 1 Machine Learning Engineer 125000 0 1 1 Data Analytics Manager 120000 0 1 1 Data Science Engineer 127543 1 0 1 Manager Data Science 144000 1 1 1 Data Scientist 13400 1 0 1 Data Scientist 75966 1 0 1 Data Scientist 150000 0 1 1 Data Engineering Manager 153000 1 1 1 Data Engineer 90000 1 1 1 Data Analyst 90000 0 1 1 Data Analyst 60000 0 1 1 Data Scientist 50000 1 0 1 Applied Data Scientist 54376 1 0 1 Machine Learning Engineer 47681 0 0 1 Director of Data Science 154963 1 0 1 Data Engineer 28801 1 0 1 Data Analytics Engineer 110000 1 1 1 Research Scientist 83000 1 0…arrow_forward
- This question is regarding vectors and matrices, what do I match these 4 parts with when the 5 choices to match with are: It equals 1 It is meaningless It equals 0 It equals 4 It equals the zero vectorarrow_forwardFor question 42, use the fact that matrices A and B are row-equivalent. Answer parts a,b,c,d,e,and f.arrow_forwardIn Problems 2 to 4, find out whether the given vectors are dependent or independent; if they are dependent, find a linearly independent subset. Write each of the given vectors as a linear combination of the independent vectors.2. (1, −2, 3), (1, 1, 1), (−2, 1, −4), (3, 0, 5) 3. (0, 1, 1), (−1, 5, 3), (1, 0, 2), (2, −15, 1)4. (3, 5, −1), (1, 4, 2), (−1, 0, 5), (6, 14, 5)arrow_forward
- Answer the following questions for a 2 x 4 x 3 complex design - How many independent variables? - How many dependent variables? - How many main effects? - How many interactions?arrow_forwarddeal with the problem of solving Ax = b when det A = 0.22.Suppose that, for a given matrix A, there is a nonzero vector x such that Ax = 0. Show that there is also a nonzero vector y such that A*y = 0.arrow_forwardFrom my Linear Algebra class (ungraded) pratice work: "If AB is a defined product of matrices A and B, and the columns of AB are linearly independent, is it necessarily the case that the columns of B are also linearly independent?" So I got this far: (AB)x = 0 has only the trivial solution by the associative law of multiplication, (AB)x = A(Bx) = 0 from here, I'm not sure how to show the columns of B must be linearly independent.arrow_forward
- If A is m by n, how many separate multiplications are involved when(a) A multiplies a vector x with n components?(b) A multiplies an n by p matrix B?( c) A multiplies itself to produce A2 ? Here m = n.arrow_forwardFind the solution to the following [] means its a matrix and ^ above y is vector yarrow_forwardI need help setting up the equations and the matrices for the question I attached below.arrow_forward
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