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Scalars, Vectors, Matrices and Tensors

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Scalarsvectorsmatrices and tensors are fundamental structures of linear algebra, and understanding them is integral to unlock the concepts of deep learning.

  • A scalar is a singular quantity like a number.
  • A vector is an array of numbers (scalar values).
  • A matrix is a grid of information with rows and columns.
  • A tensor is a mathematical object that can be thought of as a multi-dimensional array of numbers. It generalizes scalars (which are 0-dimensional), vectors (1-dimensional), and matrices (2-dimensional) to potentially higher dimensions.

Another example

MATRIX ADDITION

 

MATRIX TRANSPOSE

Matrix Multiplication