Consider the following matrices. (a) Find scalars and such that(b) Show that there do

Chapter 2, Problem 2.136

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Consider the following matrices. (a) Find scalars and such that(b) Show that there do not exist scalars and suchthat(c) Show that if then(d) Find scalars and not all equal to zero, suchthatFinding a Power of a Matrix In Exercises 51 and 52,compute the power of for the matrix51. 52.Finding an nth Root of a Matrix In Exercises 53and 54, find the th root of the matrix An th root ofa matrix is a matrix such that53.54. B n 3 8000100027,B n 2 9004,B A An B.n B. nA19 A20A [100010001].AaX bY cZ O.

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