Let v1 = -4 , v2 = -1 , v3 = 1, and H = Span{v1, v2, v3}. { -1 } { 1 } { -5 } 2 -2 2Note that v3 = 2 v 1 - 3 v 2. Which of the following sets form a basis for the subspace H, i. e., which sets form an efficient spanning set containing no unnecessary vectors?a) {v1, v2, v3}b) {v1, v2}c) {v1, v3}d) {v2, v3}

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down