Math Problem Statement
if x = (-2, -1) in cartesian coordinates, how is it expressed with the basis vectors v1=(1, -1) and v2=(1, 1)
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Coordinate Transformation
Basis Vectors
Formulas
x = c1 * v1 + c2 * v2
System of equations: c1 + c2 = -2, -c1 + c2 = -1
Theorems
Linear combination of basis vectors
System of linear equations
Suitable Grade Level
Undergraduate / High School Advanced Math
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