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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1-3 only please
Transcribed Image Text: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.
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