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Combine the methods of row reduction and cofactor expansion to compute the determinants in Exercises 11–14.$$\left|\begin{array}{rrrr}{1} & {5} & {4} & {1} \\ {0} & {-2} & {-4} & {0} \\ {3} & {5} & {4} & {1} \\ {-6} & {5} & {5} & {0}\end{array}\right|$$

20

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

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okay. In this question, we want to find determines using reduction and Cho Pak expansion. So the first way reduction stepped out. Tate years will take row three and was attacked by one and good that to grow three. So that gives you the determinants. One by or one Tzar minus two minus 40 and three months. One doozy too. Five minutes 504 marks for dessert, one month's one kitchen and 655 Then we contacted expand by the last call. Seven. Mentoring our science. It's positive. Negative politics. Next. So negative one climbs spy determinant off zero minus two once for choose your 065 and five. You know, we come back to expand along the second Roy, so it's positive and negative. So negative one time by native to which gives you two sounds like minus two minus four. Why? And fight, which is just too five times minus two gives you 10 minus five times for minus four. Gives you native 20. So this is just to kind of modest 10 plus 20 just to talk about 10. It is just 20

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