ML 썸네일형 리스트형 Linear Algebra for Machine Learning and Data Science (7) Solving systems of linear equationsSolving system of linear equations: Row echelon form and rankThe rank of a matrixRank here is referred to as the amount of information/data it holds더보기Matrix 12As you may have noticed, the matrix is non-singular. The rank of the matrix is 2, as you obtain 2 new pieces of information.Matrix 21The rank is 1. You can find the rank using different methods from the .. 더보기 Linear Algebra for Machine Learning and Data Science (6) Solving systems of linear equationsQuizQ1Solve the following system of equations using the method of elimination and select the correct answer.$$ \begin{cases} x + y = 4 \\ -6x + 2y = 16 \end{cases} $$Choice더보기1. x = 0, y = 0.2. The system has no solution.3. The system has infinitely many solutions.4. x = 1, y = 3.5. x = −1, y = 5.Answer더보기5The solution for the system of equations is a unique po.. 더보기 Linear Algebra for Machine Learning and Data Science (5) Solving systems of linear equationsThis week, you will learn how to solve a system of linear equations using the elimination method and the row echelon form. You will also learn about an important property of a matrix: the rank. The concept of the rank of a matrix is useful in computer vision for compressing images.Learning ObjectivesSolve a system of linear equations using the elimination metho.. 더보기 Linear Algebra for Machine Learning and Data Science (4) Systems of linear equationsCheck your knowledgeQ1.Translate the following description into a system of linear equations.Bob has a mixture of apples and oranges of the same size, which he split into two bags. The first bag contains 4 apples and 3 oranges and weighs 700g. The second bag contains 2 apples and 6 oranges and weighs 1000g.더보기4a + 3b = 7002a + 6b = 1000Q2.Translate the following system.. 더보기 Linear Algebra for Machine Learning and Data Science (3) Systems of linear equationsQuiz 1Q1.A scientist has 6 weights, three of type X, and three of type Y. She wants to determine the weight of each type since the labels have worn off, but she has a problem. Her scale lacks sufficient precision for objects weighing less than 1000 grams.Initially, the scientist placed all three X weights on the scale and received the message "Insufficient weight for a.. 더보기 Linear Algebra for Machine Learning and Data Science (2) Systems of linear equationsSystems of EquationsA geometric notion of singularityBy looking at the above plots we can conclude that the constants don’t matter when it comes to determining singular and nonsingular, hence we can leave them at 0A non-singular equation stays non-singular and a singular equation stays singular regardless of constantsSingular vs non-singular matricesCoefficients from t.. 더보기 Linear Algebra for Machine Learning and Data Science (1) Systems of linear equationsMatrices are commonly used in machine learning and data science to represent data and its transformations. This week, you will learn how matrices naturally arise from systems of equations and how certain matrix properties can be thought of in terms of operations on systems of equations.Learning ObjectivesForm and graphically interpret 2x2 and 3x3 systems of linear equa.. 더보기 Linear Algebra for Machine Learning and Data Science (0) What you'll learnRepresent data as vectors and matrices and identify their properties using concepts of singularity, rank, and linear independenceApply common vector and matrix algebra operations like the dot product, inverse, and determinantsExpress certain types of matrix operations as linear transformation, and apply concepts of eigenvalues and eigenvectors to machine learning problemsThere a.. 더보기 이전 1 ··· 4 5 6 7 8 다음
