Problem 3-2a + b+12aLet M(a, b) =a +b-3a + 26 + 1За — 2b(a) Find all values of a, b for which M(a, b) is invertible;(b) fınd all values of a,b for which the rank of M(a, b) is equal to 2;(c) find all values of a, b for which the nullity of M(a, b) is equal to 2.

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Answered: Problem 3 -2a +b+1 2a – b Let M(a, b) =…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 3AEXP

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For problem 3, you can use a computer or a calculator for the matrix multiplication. 3. Gertrude will open a movie theatre in the town of Northern Millstone on July 20th, 2020. Assume the following to be true. If a resident of Northern Millstone patronizes Gertrude’s movie theatre on any given day, the probability that this resident will patronize Gertrude’s movie theatre the next day is .05. If a resident of Northern Millstone does not patronizeGertrude’s movie theatre on any given day, the probability that this resident will not patronize Gertrude’s movie theatre the next day is .9. If 10% of the residents of Northern Millstone patronizeGertrude’s movie theatre on July 20th, 2020, what percent of the residents of Northern Millstone will patronize Gertrude’smovie theatre on July 22nd, 2020?
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Problem 3 -2a +b+1 2a – b Let M(a, b) = a +b -За + 26 + 1 За - 26 (a) Find all values of a, b for which M(a, b) is invertible; (b) find all values of a, b for which the rank of M(a, b) is equal to 2; (c) find all values of a, b for which the nullity of M(a, b) is equal to 2.