This is a vector space. Show A1 and A6 hold. Also find the -u A)The set of all 2×2 matrices of the form [a 0 0 b ] with the standard matrix addition and scalar multiplication B)The set of polynomials of the form  represents linear polynomials, where   and are constants (coefficients) and is a variable. In this case, we will explore the operations defined for these polynomials: addition and scalar multiplication.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 89E
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This is a vector space. Show A1 and A6 hold.

Also find the -u

A)The set of all 2×2 matrices of the form [a 0 0 b ] with the standard matrix addition and scalar multiplication

B)The set of polynomials of the form 

represents linear polynomials, where 

 and are constants (coefficients) and is a variable. In this case, we will explore the operations defined for these polynomials: addition and scalar multiplication.

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