Problem: A+C=? Use the matrices defined below for the following set of problems. [1 0 6...
use the matirces defined below for the following set of problems. Problem Set 5 Use the matrices defined below for the following set of problems. [2 3 C= 5 7 DE 23 A=3 B= 23 c= 57 D=23,8 E = 01 = (10 61 F= 0 2 3 (4 o o 5 6 91 1. Find: 1a) 3A 1b) A+B 1c) AB 1d) BC le) CB 1f) AE 1g) FF 1h) A+C 11) EF 11) 2B-8E 15
For problems 1-4, let A and B be the matrices (6 0 1 27 13 0 /1 0 0 5 10 A= 5 0 1 22 12 0,B=001 -3 7 0 4 0 2 14 18 0 0 0 0 0 0 0 You may take for granted that A and B are row equivalent. 1. Which columns of A are a basis for col(A)? A. a, a, a, a, B. a, a, a, as C. a, a, a, D....
Need help!! 1) Let A, B, C, and D be the matrices defined below. Compute the matrix expressions when they are defined; if an expression is undefined, explain why. [2 0-1] [7 -5 A= .B -5 -4 1 C- ,D= (-5 3] [I -3 a) AB b) CD c) DB d) 3C-D e) A+ 2B 2) Let A and B be the matrices defined below. 4 -2 3) A=-3 0, B= 3 5 a) Compute AB using the definition of...
Using the given matrices, calculate the quantities, if they are defined. (If not possible, enter IMPOSSIBLE into any cell of the matrix.) 02 15 0 A= B= 13 6 02 x 5 3 Eo91 6 4 0 F= 0 0 1 1 1 2 3 G 5 4 6 9 7 8 2 1 3 3 7 6 (a) A-4BC (b) EG (c) FK - 4K (d) HEA Тf It (е) ЗВС - НК - It (f) 7K - H...
Use the following matrices A, B, and C to solve the following problems A2 -13 0 -3-2 C -1 31 where c is any constant value c -4 2 0 A) What is B'B? B) What is A3? C) What is (AB)TC? D) Determine if the following operations are possible. You do not need to perform the operations A+C CA AB A+B AC BA
1. Find the Jordan canonical forms of the following matrices 0 0 -1 (c) 7 6-3 (b) 2 3 2 1 0 4 0 1 -3 -10-8-6-4 0 -3 1 2 0-1 0 0 0 (d) 2 2 21-1 2 (e) 0-2-5-3 -2 0 6 85 4 0 -5 3-3 -2-3 4 1. Find the Jordan canonical forms of the following matrices 0 0 -1 (c) 7 6-3 (b) 2 3 2 1 0 4 0 1 -3 -10-8-6-4 0...
Problem 6. The set (Z19 − {0}, ·19) is a group with the indicated operation; see the attached table. a.) Show that H = {1, 7, 8, 11, 12, 18} is a subgroup. b.) List all the right cosets of H. c.) Show that if Hy = Hx then xy−1 ∈ H. [Make sure to give a reason for each step.] d.) Show that φ : H → Hx defined by φ(h) = hx is one-to-one and onto. [Use the...
1. The matrices A and C are row equivalent. Find the elementary matrices such that C = E,E,E,A. 3 2 1 -4 -6 0 1 7 2 1 2 1 0 5 3 0 2 -2 5 9 6 -3 6 3 3 2 1 -4
Question 1 a. Define the following matrices in a script file (M-file), ? = ( 8 9 10 11; 23 9 16 15 ;11 12 3 6; 1 2 8 9 ) ? = ( 2 21 7 15; 12 4 8 22; 23 9 5 13; 23 4 21 22) ℎ = (4 9 12 15) b. Add suitable lines of codes to the M-file to do the following. Each of the following points should be coded in only...
Find determinants of the following matrices: 1 5 7 -1 3 2 A= 3 2 8 B= 6 -2 3 C= 6 1 9 7 10 0 13 4 1 0 4 1 -7 2 3 -4 3 D= 4 12 -3 -9 2 6 7 8