Math Problem Statement
Determine if b is in the span of the other given vectors. If so, express b as a linear combination of the other vectors. (If b cannot be written as a linear combination of the other two vectors, enter DNE in both answer blanks.) a1 =
−1
3 −1 , a2 =
−2
−3 6 , b =
−5
6 3
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Vector Spaces
Linear Combinations
Systems of Equations
Formulas
c1 * a1 + c2 * a2 = b
Solving system of linear equations via substitution
Theorems
Linear Combination Theorem
Span of Vectors
Suitable Grade Level
Undergraduate Level (College Algebra, Linear Algebra)
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