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This is the Exam of Applied Linear Algebra which includes Inconsistent, Matrix, Parallelogram, Precise Description etc. Its key important points are: Vectors, Linearly Independent, Transformation, Nonzero Vectors, Linearly Independent, Linear Transformation, Columns, Never One to One, Chemical Equation, Balance
Typology: Exams
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are linearly independent. Show all work.
B 2 S 3 + H 2 O −→ H 3 BO 3 + H 2 S using the vector equation approach. Show all work.
x 1 x 2 x 3
x 1 + 2x 2 − x 3 3 x 2 + x 1 + 2x 3 x 3 + x 1 x 2 + x 3
(a) (3 points) Find the matrix of T. Show all work. (b) (4 points) Is T one-to-one? Justify your answer. (c) (4 points) is T onto? Justify your answer.