The World Bank collected data on the percentage of GDP that a country spends on health expenditures and also the percentage of women receiving prenatal care. The data for the countries where this information are available for the year 2011 is in Table below. Create a regression model/equation between percentage spent on health expenditure and the percentage of women receiving prenatal care. Then use the regression equation to find the percent of women receiving prenatal care for a country that spends 5.0% of GDP on health expenditure and for a country that spends 12.0% of GDP. Health Expenditure (% of GDP) Prenatal Care (%) 9.6 47.9 3.7 54.6 5.2 93.7 5.2 84.7 10.0 100.0 4.7 42.5 4.8 96.4 6.0 77.1 5.4 58.3 4.8 95.4 4.1 78.0 6.0 93.3 9.5 93.3 6.8 93.7 6.1 89.8

Q: Using MATLAB or Octave  Consider the following Matrices:                                43  9  74…

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Q: Use Wolfram Alpha to plot the vectors (1,3,2) (2,-1,4) and their sum. Attach your output.

A: The output of Wolfram Alpha is given below:

Q: 1 t t

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Q: Write short notes on Non negative Matrix factorization

A:

Q: Generate a 4 x 4 Identity matrix

A: Matrix is mentioned below:

LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.