Math Problem Statement
express the vector v = <1, 0, 5> as a linear combination of x = <1, -4, 1> and y = <2, -4, 6>
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Vectors
Linear Combination
Systems of Equations
Formulas
v = a * x + b * y
a + 2b = 1
-4a - 4b = 0
a + 6b = 5
Theorems
Linear Combination Theorem
Suitable Grade Level
Undergraduate Level or Advanced High School (Grades 11-12)
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