Explanation It is given that, B = [ 2 3 − 4 2 ] , A 1 = [ 1 0 0 1 ] , A 2 = [ 0 − 1 1 0 ] , a n d A 3 = [ 1 1 0 1 ] Let us say, B is a linear combination of A 1 , A 2 , and A 2 . Then, B = u A 1 + v A 2 + z A 3 , where u and v are any real numbers . [ 2 3 − 4 2 ] = u [ 1 0 0 1 ] + v [ 0 − 1 1 0 ] + z [ 1 1 0 1 ] = > [ 2 3 − 4 2 ] = [ u 0 0 u ] + [ 0 − v v 0 ] + [ z z 0 z ] = > [

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ISBN: 9781285463247

Author: David Poole

Publisher: Cengage Learning

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…

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Chapter 3.3, Problem 6EQ

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To write: Matrix B, as a linear combination of A₁, A_2, and A₂ matrices (if possible ),

where, B=[ 23−42], A1=[1001], A2=[0−11 0], and A3=[1101]

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Chapter 3.3, Problem 5EQ

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Matrix B , as a linear combination of A 1 , A 2, and A 2 matrices (if possible ), w h e r e , B = [ 2 3 − 4 2 ] , A 1 = [ 1 0 0 1 ] , A 2 = [ 0 − 1 1 0 ] , a n d A 3 = [ 1 1 0 1 ]

Solution Summary: The author explains that matrix B is a linear combination of A 1, A 2, and A 2 matrices.

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To write: Matrix B, as a linear combination of A₁, A_2, and A₂ matrices (if possible ),

where, B=[ 23−42], A1=[1001], A2=[0−11 0], and A3=[1101]

Want to see the full answer?

Chapter 3 Solutions

Matrix B , as a linear combination of A 1 , A 2, and A 2 matrices (if possible ), w h e r e , B = [ 2 3 − 4 2 ] , A 1 = [ 1 0 0 1 ] , A 2 = [ 0 − 1 1 0 ] , a n d A 3 = [ 1 1 0 1 ]

Solution Summary: The author explains that matrix B is a linear combination of A 1, A 2, and A 2 matrices.

Concept explainers

Videos

To write: Matrix B, as a linear combination of A1, A2, and A2 matrices (if possible ), where, B=[ 23−42], A1=[1001], A2=[0−11 0], and A3=[1101]

Want to see the full answer?

Chapter 3 Solutions

To write: Matrix B, as a linear combination of A₁, A_2, and A₂ matrices (if possible ),

where, B=[ 23−42], A1=[1001], A2=[0−11 0], and A3=[1101]