MATH 1300 ASSIGNMENT PROBLEMS (UNIT 3) Solutions 1. Determine into which of the following 3 types the matrices (a) to (e) below can be classified. Type (A): matrix is in both reduced row-echelon form and row-echelon form. Type (B): matrix is in row-echelon form but not in reduced row-echelon form. Type (C): matrix is in neither reduced row-echelon form nor in row-echelon form. 1100100010101200000103210010010100100010(a)(b)(c)(d)(e)0015010100100001010000040000000100001000(f) Find all 13×reduced row-echelon matrices. Solution:
2. Consider the following system of linear equations. 1341232341242630xxxxxxxxxxxx++=+−=++=−+=(a) Write out the augmented matrix for this system of linear equations. (b) Use elementary row operations to reduce the augmented matrix to reduced row-echelon form. (c) Write out the solution to the system of linear equations.