For each of the following, decide whether the equation is linear or not. Justify
ID: 3119190 • Letter: F
Question
For each of the following, decide whether the equation is linear or not. Justify your answer. 3x 5y 2z 3 0 3xy z 2 x y z x^1/3 = y - 2 + 2 sin(x) = 0 Write each of the following linear systems as an equivalent augmented matrix: x + y = 1 2x + y = -4 2y + z = 1 -2x + y = -1 x = 1 Solve the following linear systems: {x + y = 1 2x + y = -4 {2y + z = 1 -2x + y = -1 x = 1 Put the following matrices in REF (or RREF) (1 1 1 1 2 3 0 1 0 -2 1 0) (3 1 1 6 2 3) (2 0 0 0 1 3) (1 2 1 1 3 0 0 0 1 1 1 0 3 0 0 0 0 0 2 2) Determine the values of k for which the following system has a solution: (1 -3 3 2 6 k) (0 1 3 -2 k 0) (1 -1 1 0 6 k 0 0 -1)Explanation / Answer
Solution 1: In the given equations, (a) and (c) are linear equations because in each equation the exponent of variables is one. and remaining (b), (d) and (e) are not linear equation because in part (b) variables are multiplied together, in part (d) x has power and sin(x) graph is cyclic.
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