After we review on how to solve system of linear equations using algebraic methods (substitution, elimination and graph), we will turn our attention to a new topic/object: the matrix (not the movie) Use your own words (or use formulas) to describe the following 1) When can we add/subtract two matrices (What is the condition on the dimension of the matrices) and how do we perform the addition/subtraction? 2) When can we multiply two matrices (What is the condition on the dimension of the matrices) and how do we perform the multiplication? 3) There is no division with matrix however, we can replace the matrix division with multiplying the inverse matrix (if the inverse matrix exists). Assume that the inverse matrix exists, descript how to find the inverse matrix of a 2 by 2 matrix and how to find the inverse matrix of a 3 by 3 matrix 4) There is a special operation with matrix namely the determinant. Use your own language to descript how to find the determinant of a 2 by 2 matrix and how to find the determinant of a 3 by 3 matrix.

After we review on how to solve system of linear equations using algebraic methods (substitution, elimination and graph), we will turn our attention to a new topic/object: the matrix (not the movie) Use your own words (or use formulas) to describe the following 1) When can we add/subtract two matrices (What is the condition on the dimension of the matrices) and how do we perform the addition/subtraction? 2) When can we multiply two matrices (What is the condition on the dimension of the matrices) and how do we perform the multiplication? 3) There is no division with matrix however, we can replace the matrix division with multiplying the inverse matrix (if the inverse matrix exists). Assume that the inverse matrix exists, descript how to find the inverse matrix of a 2 by 2 matrix and how to find the inverse matrix of a 3 by 3 matrix 4) There is a special operation with matrix namely the determinant. Use your own language to descript how to find the determinant of a 2 by 2 matrix and how to find the determinant of a 3 by 3 matrix.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 4CC

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