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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)
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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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
Transcribed Image Text: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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