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Solve the problem. Let a_1 = [1 4 -5], a_2 = [-6 4 4], and b = [28 0 -36]. Determine whether b can be written as a linear combination of a_1 and a_2. In other words, determine whether weights x_1 and x_2 exist, such that x_1 a_1 + x_2 a_2 = b. Determine the weights x_1 and x_2 if possible. x_1 = 4, x_2 = -4 No solution x_1 = 5, x_2 = -5 x_1 = 4, x_2 = -3 Show transcribed image text Solve the problem. Let a_1 = [1 4 -5], a_2 = [-6 4 4], and b = [28 0 -36]. Determine whether b can be written as a linear combination of a_1 and a_2. In other words, determine whether weights x_1 and x_2 exist, such that x_1 a_1 + x_2 a_2 = b. Determine the weights x_1 and x_2 if possible. x_1 = 4, x_2 = -4 No solution x_1 = 5, x_2 = -5 x_1 = 4, x_2 = -3
Solve the problem. Let a_1 = [1 4 -5], a_2 = [-6 4 4], and b = [28 0 -36]. Determine whether b can be written as a linear combination of a_1 and a_2. In other words, determine whether weights x_1 and x_2 exist, such that x_1 a_1 + x_2 a_2 = b. Determine the weights x_1 and x_2 if possible. x_1 = 4, x_2 = -4 No solution x_1 = 5, x_2 = -5 x_1 = 4, x_2 = -3
Show transcribed image text Solve the problem. Let a_1 = [1 4 -5], a_2 = [-6 4 4], and b = [28 0 -36]. Determine whether b can be written as a linear combination of a_1 and a_2. In other words, determine whether weights x_1 and x_2 exist, such that x_1 a_1 + x_2 a_2 = b. Determine the weights x_1 and x_2 if possible. x_1 = 4, x_2 = -4 No solution x_1 = 5, x_2 = -5 x_1 = 4, x_2 = -31
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Deanna HettingerLv2
2 May 2019