Find a basis for the solution space of the following homogeneous system of linear equations.3x1 +9x2 + 30x3 + 21x4 = 0x1 -3x2 -8x3 +5x4 = 02x₁ + 12x2 + 38x3 + 16x4= 0○ {(1, 0, 1, 6), (0, 3, 9, 0), (1, 0, 0, 1)}O {(0, 0, 1, 6), (1, 3, 9, 1)}{(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 7)}O {(-1, -3, 1, 0), (-18, -1, 0,3)}O {(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 0), (0, 0, 0, 7)}

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Find a basis for the solution space of the following homogeneous system of linear equations. 3x1 + 9x2 + 30x3 + 21x4 = 0 5x4 = 0 16x4 = 0 X1 - 3x2 - 8x3 + 2x1 + 12x2 + 38x3 + O {(1, 0, 1, 6), (0, 3, 9, 0), (1, 0, 0, 1)} O {(0, 0, 1, 6), (1, 3, 9, 1)} {(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 7)} O {(-1, -3, 1, 0), (-18, -1, 0, 3)} O {(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 0), (0, 0, 0, 7)}

Find a basis for the solution space of the following homogeneous system of linear equations. 3x1 + 9x2 + 30x3 + 21x4 = 0 5x4 = 0 16x4 = 0 X1 - 3x2 - 8x3 + 2x1 + 12x2 + 38x3 + O {(1, 0, 1, 6), (0, 3, 9, 0), (1, 0, 0, 1)} O {(0, 0, 1, 6), (1, 3, 9, 1)} {(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 7)} O {(-1, -3, 1, 0), (-18, -1, 0, 3)} O {(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 0), (0, 0, 0, 7)}

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CM: Cumulative Review

Problem 6CM

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