What's Linear Algebra? How and Where Linear Algebra Plays a Greater Role in Artificial Intelligence? Catch Up to Take Up - AI !!
What's Linear Algebra? Linear algebra is a branch of mathematics that deals with linear equations and their representations in the vector space using matrices. In other words, linear algebra is the study of linear functions and vectors. It is one of the most central topics of mathematics. What are the elements of a linear equation? A linear equation is in the form y = mx + c. There are two variables (x and y) and two constants (m and c) . The constants need to be determined. When writing a linear equation from a word problem, we also need to determine the two constants, just as with any other kind of problem. Linear Algebra Examples Example 1: Using linear algebra add these two matrices. A = [5621] [ 5 6 2 1 ] and B = [3754] ... Example 2: Subtract the two vectors →u = (3, 7, 1) and →v = (6, 2, 8) using linear algebra. Solution: →u - →v = (-3, 5, -7) ... Example 3: Solve the equations: x + 3 = 2(y - 1) and y + 1 = 5x. What to Learn in Linear Algebra for better foundati