Let fi = 1+x +x², f2 = 1+x +x*, f3 = 1 +x² + x°, ƒa = a +x +x² +x*. Determine a if if (f1, f2, f3; f4) is linearly dependent.

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A:

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Q: 1. The functions fi(x) = 4x, f2(x) = x² + 6x, and fз(x) = 4x² + 12x do not form a linearly…

A: Step 1:  Step 2: Step 3: Step 4:

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.