1. Consider the following vectors x, a, and b. -10 10 28 Can we write x...

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1. Consider the following vectors x, a, and b. -10 10 28 Can we write x as a linear combination of a and b? a) Formulate this question as a vector equation. 18 b) Give an approximate answer to the question using geometric intuition rather than attempting to solve a system of equations. 2. Consider the augmented matrix 2-2 2 0 1-3-4-9 3-1 8 9 Question: Does the corresponding linear system have a solution? If so, what is the solution set? a) Formulate this question as a vector equation. b) Formulate this question as a system of linear equations. c) What does this mean in terms of spans? 1. Consider the following vectors x, a, and b. -10 10 28 Can we write x as a linear combination of a and b? a) Formulate this question as a vector equation. 18 b) Give an approximate answer to the question using geometric intuition rather than attempting to solve a system of equations. 2. Consider the augmented matrix 2-2 2 0 1-3-4-9 3-1 8 9 Question: Does the corresponding linear system have a solution? If so, what is the solution set? a) Formulate this question as a vector equation. b) Formulate this question as a system of linear equations. c) What does this mean in terms of spans?