In each case, find the linear combination of the first two vectors that is as close as possible to the third vector. (a) [1, 2, 1], [2, 0, - 1]; [3, -1, 0] (b) [ 1 , 0, 1 ] , [ 0, 1 , 1] ; [ 0, 0, 5]

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.