Title CHAPTER-2 PR.pdf ✅

Definition: A matrix that is equal to its transpose (i.e., ). Example: is the same as , so it's symmetric. 5. Determinant of a Matrix: Definition: A scalar value that gives information about the matrix, such as whether it has an inverse or not. Example: For a 2x2 matrix: The determinant is . 6. Inverse Matrix: Definition: The inverse of a matrix is another matrix such that (identity matrix). Example: For a 2x2 matrix: (identity matrix). These are the basic ideas with examples for each concept! A = AT A = 1 2 3 2 4 5 3 5 6 AT A A = ( , det(A) = 1 3 2 4 ) (1 × 4) − (2 × 3) = −2 −2 A A−1 A × A−1 = I A = ( , A = 1 3 2 4 ) −1 = det(A) 1 ( 4 −3 −2 1 ) ( −2 1.5 1 −0.5 ) A × A−1 = I What is feature vector? Explain with example. Feature Vector A feature vector is a list or array of numerical values that represent the characteristics or attributes (features) of an object, often used in machine learning, computer vision, and data analysis. Each value in the vector corresponds to a specific feature, and collectively, the vector provides a compact representation of the object. 2/8