Determine the dimension of and a basis for the solution space of the homogeneous linear system. 3x1 + x2 +6x3 X1 +7x3 X2

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Determine The Dimension Of And A Basis For The Solution Space Of The Homogeneous Linear System 3x1 X2 6x3 X1 7x3 X2 1 (30.95 KiB) Viewed 58 times

Determine the dimension of and a basis for the solution space of the homogeneous linear system. 3x1 + x2 +6x3 X1 +7x3 X2 +X3 = 0 = 0 = 0 The dimension of the solution space is 2, the basis is vi = [1,0,7). V2 = [0, 1, 3)". O The dimension of the solution space is 2, the basis is v, = [1,0, 3)". V2 = [0, 1, 7)". O The dimension of the solution space is 3, the basis is vi = [1,0,31". V2 = [0, 1, 7)", V3 = [0,0,11", The dimension of the solution space is 3, the basis is Vj = [1,0,0", V2 = [0, 1,0)", V3 = [0,0,1). The dimension of the solution space is zero, the basis is the empty set.