8 4 -2 in R4 are not linearly independent (i.e. they are linearly dependent). Use row reduction to find constants 6 The vectors v1 = v2 = 2 V3 = 8 -8 -12 C1, c2, c3 , not all zero, so that c1 vị+c2V2 + c3V3 = 0 . An example of such is [C1, c2, c3] = | <-1,1,1> We can convert such a linear relation into forms that express one of the vectors in terms of the others. Examples of such relationships between the vectors are: • v1 = Number Ov2+| Number OV3 • V2 = Number Ov1+ Number • V3 = Number Ov1+ Number Ov2-

Q: Q2. Use a scalar product the check whether the points A (0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2,…

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A: See the attachment

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Q: Please write clearly. Thank you

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A: Solution:-

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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.