Is figure ABCD congruent to figure KLMN? • LIVEIs Figure ABCD congruent to Figure KLMN? Explain.tyRS2A8-6 -4 -2 O4K6.8.M-24• LIVEThe figures are congruent because Figure ABCD maps onto Figure KLMN• LIVEThe figures are congruent because Figure ABCD maps onto Figure KLMN IReview progres-6. • LIVEThe figures are congruent because Figure ABCD maps onto Figure KLMN by a reflection and a translation.• LIVEThe figures are congruent because Figure ABCD maps onto Figure KLMN by a rotation.LIVEThe figures are not congruent because Figure ABCD does not map onto Figure KLMN by a sequence of transformation:• LIVEThe figures are not congruent because Figure ABCD only maps onto Figure KLMN by a dilation.

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Answered: • LIVE Is Figure ABCD congruent to…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 10AEXP

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Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
Find the centralizer for each element a in each of the following groups. The quaternion group G={ 1,i,j,k,1,i,j,k } in Exercise 34 of section 3.1 (Sec. 3.1, #34). G={ I2,R,R2,R3,H,D,V,T } in Exercise 36 of section 3.1 (Sec. 3.1, #36). G={ I3,P1,P2,P3,P4,P5 } in Exercise 35 of section 3.1 (Sec. 3.1, #35). Sec. 3.1,34 34. Let G be the set of eight elements G={ 1,i,j,k,1,i,j,k } with identity element 1 and noncommutative multiplication given by (1)2=1, i2=j2=k2=1, ij=ji=k jk=kj=i, ki=ik=j, x=(1)x=x(1) for all x in G (The circular order of multiplication is indicated by the diagram in Figure 3.8.) Given that G is a group of order 8, write out the multiplication table for G. This group is known as the quaternion group. (Sec. 3.3,22a,32a, Sec. 3.4,2, Sec. 3.5,11, Sec. 4.2,8, Sec. 4.4,23, Sec. 4.5,40a, Sec. 4.6,3,11,16) Sec. 3.1,36 Consider the matrices R=[ 0110 ] H=[ 1001 ] V=[ 1001 ] D=[ 0110 ] T=[ 0110 ] in GL(2,), and let G={ I2,R,R2,R3,H,D,V,T }. Given that G is a group of order 8 with respect to multiplication, write out a multiplication table for G. (Sec. 3.3,22b,32b, Sec. 4.1,22, Sec. 4.6,14) Sec. 3.1,35 35. A permutation matrix is a matrix that can be obtained from an identity matrix In by interchanging the rows one or more times (that is, by permuting the rows). For n=3 the permutation matrices are I3 and the five matrices. (Sec. 3.3,22c,32c, Sec. 3.4,5, Sec. 4.2,6) P1=[ 100001010 ] P2=[ 010100001 ] P3=[ 010001100 ] P4=[ 001010100 ] P5=[ 001100010 ] Given that G={ I3,P1,P2,P3,P4,P5 } is a group of order 6 with respect to matrix multiplication, write out a multiplication table for G.
Prove that the cancellation law for multiplication holds in Z. That is, if xy=xz and x0, then y=z.
Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions of Rn and Rm.
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Lily wants to define a transformation (or series of transformations) using only rotations, reflections or translations that take figure a to figure b.
Which gralf shows only a rotation of 180 about the orgin of square JKLM to square J'K'L'M'
Does the transformation appear to be and isometry
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Lacy is given a kite with one diagonal. To prove △ ADB ≅△ CDB, she wants to verify that corresponding pairs of sides and corresponding pairs of angles are congruent using just one rigid transformation. Which of the following transformations would accomplish this task? a.) A reflection of △CDB about diagonal BD¯. b.) A 180° rotation of △ CDB about point C. c.) A translation of △CDB until point C from △CDB maps to point A from △ADB. d.) A dilation of △CDB about point B until ∠B in both triangles are congruent.
graph the image of the figure under the given rotation. U=( 3, Ø) the zero is meant to be crossed out

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• LIVE Is Figure ABCD congruent to Figure KLMN? Explain. ty R S 2 A 8-6 -4 -2 O 4 6. K N M -2 4 • LIVE The figures are congruent because Figure ABCD maps onto Figure KLMN • LIVE The figures are congruent because Figure ABCD maps onto Figure KLMN I Review progres- 00 6.