Under what condition on the numbers m1, m2, ... , m9 do these three parabolas give a basis for the space of all parabolas a + bx + cx2 ? V1 = m1 + m2x + m3x2, v2 = m4 + m5x + m5x2, V3 = m7 + msx + mgx2.

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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.