What is a zero matrix? A zero matrix is a matrix in which all elements are equal to zero. So, an mxn zero matrix will have mn elements and all the elements will be equal to 0. For example, the matrices mentioned below are zero matrices. $latex A=\begin{bmatrix} 0 & 0...

We can use the following Python code to create an mxn matrix that contains random integers. import numpy m = 3 n = 4 A = numpy.random.randint(low=1, high=10, size=(m, n)) print("A: \n", A) Here, we are creating a 3x4 matrix A using Python NumPy. The matrix A contains...

A scalar is a single number. For example, 1, -2, 1.2 are scalars. On the other hand, a vector is a list of numbers. The number of numbers in a vector is called the dimensionality of the vector. And when a vector is represented using a 1xn matrix that contains n...

What is the cross product of two vectors? Let’s say a and b are two three-dimensional vectors, i.e. both the vectors have 3 components. The cross product of these two vectors is defined as: $latex \overrightarrow{a} = \begin{bmatrix} a_1 \\ a_2 \\ a_3 \end{bmatrix} \\...

What is an outer product of vectors? Let’s say we are given two vectors a and b. The vector a is represented using an mx1 matrix and the vector b is represented using an nx1 matrix. $latex \overrightarrow{a} = \begin{bmatrix} a_1 \\ a_2 \\ ... \\ a_m \end{bmatrix} \\...