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- 22. Find the center for each of the following groups . a. in Exercise 34 of section 3.1. b. in Exercise 36 of section 3.1. c. in Exercise 35 of section 3.1. d., the general linear group of order over. Exercise 34 of section 3.1. Let be the set of eight elements with identity element and noncommutative multiplication given by for all in (The circular order of multiplication is indicated by the diagram in Figure .) Given that is a group of order , write out the multiplication table for . This group is known as the quaternion group. Exercise 36 of section 3.1 Consider the matrices in , and let . Given that is a group of order 8 with respect to multiplication, write out a multiplication table for. Exercise 35 of section 3.1. A permutation matrix is a matrix that can be obtained from an identity matrix by interchanging the rows one or more times (that is, by permuting the rows). For the permutation matrices are and the five matrices. Given that is a group of order with respect to matrix multiplication, write out a multiplication table for .arrow_forwardDetermine the area of ABC if A=2,1,B=5,3,andC is the reflection of the B across the x-axis.arrow_forwardUse a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)arrow_forward
- app.formative.com/formatives/6192a97a4b7d55505c0d1e69?selectedSectionid=wflw 2. Transform triangle DEF with vertices D(4,0). E(0, 2), and F(-2, -1) as shown. RF-90-(ADEF) D E A D I G D' ■ Question Details Transform triangle DEF with vertices D(4,0), E(0, 2), and F(-2, -1) as shown. Graph its image and state the coordinates. F 4 + :arrow_forwardWhich shows the transformation of a rectangle with vertex coordinates of (2, 3), (6, 3), (2, 1), and (6, 1) by the function (x, y) → (x +2, y – 3)? 10 2. 1. 10 7. 34 2. 123 4S 6 789 10 10 6. 123 S67 9 10 10 6. 4. 1 2 789 10arrow_forwardJKL has vertices J(4,3) , K(4,7) , and L(7,3). Which graph shows JKL and J’K’L’ its image after a translation?arrow_forward
- Zoom ll ? ( 9:16 AM O 85% A reviewgamezone.com 1. Which Transformation will result in an image which is similar but not congruent to the pre image? A translation B) dilation C glide reflection D rotation 2. A figure is located entirely in the third quadrant. If it is reflected over the y axis, in which quadrant will its image lie? A ) 2ndarrow_forwardProvide me complete solution of question thanks 14arrow_forwardFind the area of △EFG with vertices E(8,–6),F(–4,–8),andG(4,6).arrow_forward
- : List the vertices in R2 of the convex region defined by Ax 0 where A = 2 and b = 8 -1 (A) (2,3). (3.5,1.5). (2,0). (0,2). (1,4) (B) (2,3). (3.5,1.5), (2.0). (0,0). (0.4) (C) (2,3). (3.5,1.5). (2,0), (1,0). (1,4) (D) (2,3), (3.5,1.5). (0,2). (1,1). (0,4) (E) (3,2), (3.5,1.5). (2.1). (0.0). 10,4) (F) (2,3). (1.5.3.5), (0.2). (0,0). (0,4) (G) (3.2). (1.5,3.5). (2.0). (0.0). (0,4) (H) (2.3). (3.5,1.5). (2,1). (0.0). (1,4) 1: Aarrow_forward). 4. Rectangle DEFG with vertices D(-4, 3), E(O, 2), F(-2, -6), and G(-6, -5): (x, y) (x+ 4, y + 1) D'( E'( . F' G' - onent form. 7. OGina Wison (AI Things Algebra, LLC). 2015-2018arrow_forward3arrow_forward
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