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 a0+a1x with the operations (a0+a1x)+(b0+b1x)=(a0+b0)+(a1+b1)x and k(a0+a1x)=(ka0)+(ka1)x

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 a0+a1x with the operations (a0+a1x)+(b0+b1x)=(a0+b0)+(a1+b1)x and k(a0+a1x)=(ka0)+(ka1)x

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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