Let M = -6 - [31] 0 be a vector in the vector space V of 2 × 2 matrices with real number entries. Let C = - [1 0 - 96 J} ] [ be an ordered basis for V. a. Write M as a linear combination of elements of C. -6 - = 3 0 [1 Го + + [1 0 [] [+ b. Let [M]c denote the coordinate representation of M relative to the basis C. Find the coordinate vector representation for M relative to the basis C. Your answer should be a vector of the general form <1,2,3,4>. [M]c =

Let M = -6 - [31] 0 be a vector in the vector space V of 2 × 2 matrices with real number entries. Let C = - [1 0 - 96 J} ] [ be an ordered basis for V. a. Write M as a linear combination of elements of C. -6 - = 3 0 [1 Го + + [1 0 [] [+ b. Let [M]c denote the coordinate representation of M relative to the basis C. Find the coordinate vector representation for M relative to the basis C. Your answer should be a vector of the general form <1,2,3,4>. [M]c =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 29E

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