MATH 21 Study Guide - Summer 2018, Comprehensive Midterm Notes - Positive-Definite Matrix, Vector Space, Linear Independence
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Office hours: mwf 9:20 10:20 am , 2:40 3:40 pm at 41s7 mchenry library. Final: monday june 11 from 7. 30 10 pm. Definition of linear equation ax + b = c. Definition of solution to linear equation: i. e. (linear eq) : b1x1 + . Solution: is a sequence of possible answers for each individual variable. Equation 3x 5 = 7x + 11 has unique solution 4. For every real number t, (3 t) is solution for 3x 5 = 7x 11. Definition: 2 linear eq in a variables x1 . xn are equivalent if they have same soln set. Equation: 3x 5 = 7x + 11. Similarly, can transform 3x y + 1 = x + y 5 into equivalent eq x y = 3. + anxn = b is said to be in standard form m. it is homogeneous if b = 0; otherwise, it is inhomogeneous.
