Use the code above and the matrix to encode the message. 6. HELLO 85. 2 A 3 -3] 7. CALL ME 4-3] A [2 %3D 8. I WON 5] 3 -2] -1 A = %3D |

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Use the code above and the matrix to encode the message
First, convert the letters to row matrices,
inserting a 0 for spaces between words.
= 0 F = 6
A = 1 G = 7
L = 12 R = 18 X = 24
[7 15][0
M = 13 S = 19 Y = 25
N = 14 T = 20 Z = 26
14][15
18][20
8]
B = 2
H = 8
C = 3 I= 9
Then multiply each of the uncoded row
matrices by matrix A on the right to
obtain coded row matrices.
O = 15 U = 21
V = 22
D = 4 J = 10
P = 16
E = 5
K = 11 Q = 17 W = 23
[7 15 - (6 30]
[15 18] -(27 36]
= [27
2
3
14] 1=[-14 28]
3
[20 8] - [52 16]
-1
-1
The coded message is 6, 30,-
14, 28, 27, 36, 52, 16.
Exercises for Example 3
Use the code above and the matrix to encode the message.
6. HELLO
8.
-2
A
3 -3
7. CALL ME
4 -3]
A =
[2
8. I WON
-1
51
A =
3
Transcribed Image Text:First, convert the letters to row matrices, inserting a 0 for spaces between words. = 0 F = 6 A = 1 G = 7 L = 12 R = 18 X = 24 [7 15][0 M = 13 S = 19 Y = 25 N = 14 T = 20 Z = 26 14][15 18][20 8] B = 2 H = 8 C = 3 I= 9 Then multiply each of the uncoded row matrices by matrix A on the right to obtain coded row matrices. O = 15 U = 21 V = 22 D = 4 J = 10 P = 16 E = 5 K = 11 Q = 17 W = 23 [7 15 - (6 30] [15 18] -(27 36] = [27 2 3 14] 1=[-14 28] 3 [20 8] - [52 16] -1 -1 The coded message is 6, 30,- 14, 28, 27, 36, 52, 16. Exercises for Example 3 Use the code above and the matrix to encode the message. 6. HELLO 8. -2 A 3 -3 7. CALL ME 4 -3] A = [2 8. I WON -1 51 A = 3
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