Shahad

2. An eigenvalue shows how much a vector is stretched or shrunk during a transformation. It's a number linked to an eigenvector
4. The determinant is a number that shows if a matrix can be inverted. If it's 0, the matrix has no inverse
8. Matrix A square matrix with 1s on the diagonal and Os everywhere else. It's like the number 1 for matrices - it doesn't change other matric when multiplied
11. A vector is a list of numbers that shows direction and size. It can represent things like movement or force in space.
12. A matrix is a rectangular table of numbers. We use matrices to store data or solve systems of equations
14. The rank of a matrix is the number of independent rows or columns. It tells us how much information the matrix really has
15. Product Only for 3D vectors, it gives another vector that is perpendicular (at 90°) to the two original ones

1. Matrix This is like the "opposite" of a matrix.
3. you multiply a matrix by its inverse, the result is the identity matrix
5. This is a special vector that doesn't change direction when a transformation is applied. It only gets longer or shorter
6. Transformation This is a function that moves vectors from one space to another, while keeping lines straight, Examples include rotations, reflections, and scalings
7. of Linear Equations A group of equations where each one is linear. Solving them means finding values of variables that work in all the equations
9. product It's a way to multiply two vectors. The result is a single number that tells you how similar their directions are
10. A scalar is just a single number. It can be used to multiply a vector or matrix and change its size
13. Echelon Form (REF) This is a special form of a matrix used to solve systems more easily. It has zeros below each pivot (leading 1)
16. The span of a set of vectors is all the places you can reach using them. It shows what space they cover together.