![Bundle: Elementary Linear Algebra, Loose-leaf Version, 8th + WebAssign Printed Access Card for Larson's Elementary Linear Algebra, 8th Edition, Single-Term](https://www.bartleby.com/isbn_cover_images/9781337604925/9781337604925_largeCoverImage.gif)
To prove:
If
![Check Mark](/static/check-mark.png)
Answer to Problem 1CM
Solution:
The given function
Explanation of Solution
Given:
The function
Approach:
A function
1)
2)
Calculation:
Consider any two elements,
Then,
Consider,
So, property 1 is true for
Now, consider,
So, property 2 is true for
Since, both the properties of a linear transformation are satisfied by
Therefore, the given function
Conclusion:
Hence, the given function
Want to see more full solutions like this?
Chapter 7 Solutions
Bundle: Elementary Linear Algebra, Loose-leaf Version, 8th + WebAssign Printed Access Card for Larson's Elementary Linear Algebra, 8th Edition, Single-Term
- In Exercises 1-12, determine whether T is a linear transformation. T:FF defined by T(f)=f(x2)arrow_forwardLet T be a linear transformation from R2 into R2 such that T(1,0)=(1,1) and T(0,1)=(1,1). Find T(1,4) and T(2,1).arrow_forwardIn Exercises 1 and 2, determine whether the function is a linear transformation. T:M2,2R, T(A)=|A+AT|arrow_forward
- Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).arrow_forwardLet T be a linear transformation from R3 into R such that T(1,1,1)=1, T(1,1,0)=2 and T(1,0,0)=3. Find T(0,1,1)arrow_forwardLet T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions of Rn and Rm.arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)