The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are10)defined.10) A is 2 x 1, B is 1 x 1.A) AB is 1 x 2, BA is 1 x 1.C) AB is 2 x 2, BA is 1 x 1.B) AB is undefined, BA is 1x 2.DAB is 2 x 1, BA is undefined.Describe geometrically the effect of the transformation T.[o o 0111) Let A = 0 1 00 01Define a transformation T by T(x) = Ax.AProjection onto the yz-planeC) Projection onto they-axisB) Horizontal shearD) Vertical shearFind the matrix of the linear transformation T: V-W relative to B and C.12) Suppose B = (b1, b2} is a basis for V and C (c1, c2, c3} is a basis for W. Let T be defined by%3DT(b1) =-4c1 + 6c2 + 4c3T(b2) = -4c1 + 12c2-3c3D)-4A)B)-4 646.0 -6-4-4-46.4 -76 12-4 12 -36.4 -3

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The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, is defined. 10) A is 2 x 1, Bis 1 x 1. A) AB is 1 x 2, BA is 1 x 1. C) AB is 2 x 2, BA is 1 x 1. B) AB is undefined, BA is 1x 2. DAB is 2 x 1, BA is undefined.

The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, is defined. 10) A is 2 x 1, Bis 1 x 1. A) AB is 1 x 2, BA is 1 x 1. C) AB is 2 x 2, BA is 1 x 1. B) AB is undefined, BA is 1x 2. DAB is 2 x 1, BA is undefined.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are
10)
defined.
10) A is 2 x 1, B is 1 x 1.
A) AB is 1 x 2, BA is 1 x 1.
C) AB is 2 x 2, BA is 1 x 1.
B) AB is undefined, BA is 1x 2.
DAB is 2 x 1, BA is undefined.
Describe geometrically the effect of the transformation T.
[o o 01
11) Let A = 0 1 0
0 0
1
Define a transformation T by T(x) = Ax.
AProjection onto the yz-plane
C) Projection onto they-axis
B) Horizontal shear
D) Vertical shear
Find the matrix of the linear transformation T: V-W relative to B and C.
12) Suppose B = (b1, b2} is a basis for V and C (c1, c2, c3} is a basis for W. Let T be defined by
%3D
T(b1) =-4c1 + 6c2 + 4c3
T(b2) = -4c1 + 12c2-3c3
D)
-4
A)
B)
-4 6
4
6.
0 -6
-4
-4
-4
6.
4 -7
6 12
-4 12 -3
6.
4 -3

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