scalar

(noun)

A quantity that has magnitude but not direction. 

Examples of scalar in the following topics:

  • Addition and Subtraction; Scalar Multiplication

    • Matrix addition, subtraction, and scalar multiplication are types of operations that can be applied to modify matrices.
    • There are a number of operations that can be applied to modify matrices, such as matrix addition, subtraction, and scalar multiplication.
    • In an intuitive geometrical context, scalar multiplication of a real Euclidean vector by a positive real number multiplies the magnitude of the vector without changing its direction.
    • Scalar multiplication has the following properties:
    • Practice adding and subtracting matrices, as well as multiplying matrices by scalar numbers

  • Matrix Multiplication

    • Scalar multiplication is simply multiplying a value through all the elements of a matrix, whereas matrix multiplication is multiplying every element of each row of the first matrix times every element of each column in the second matrix.  
    • Scalar multiplication is much more simple than matrix multiplication; however, a pattern does exist.  

  • What is a Matrix?

    • Any matrix can be multiplied element-wise by a scalar from its associated field.