Solution: We know that two matrices are equal iff their corresponding elements are equal. Thus comparing corresponding elements we get, for the first entry of the given matrices r + 4 = 5. The given matrix A = has 1 row and 3 columns.
Question 1: If A =, then order isĪnswer : An m × n matrix has m row and n columns. The graphics software uses the concept of a matrix to process linear transformations to render images. Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities for instance, they are used within the Page Rank algorithm that ranks the pages in a Google search. In computer graphics, they are used to project a 3-dimensional image onto a 2-dimensional screen.
Almost every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, matrices are used to study physical phenomena, such as the motion of rigid bodies. Most Scientific Fields have Applications of Matrices in some or the other form. Now, this could be arranged in tabular form as follows,Īnd this can be expressed as, $$\begin$$ Application of Matrices
