Matrix Coding - Intermediate Level: row-column decoding INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level matrix coding problems. Worksheet 18 of 30 emphasizes row-column decoding. Master position coding, matrix manipulation, cell relationships through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 18 of 30 (60% complete)

Question 1

If A=0001, B=0010, C=0011, D=0100, E=0101, F=0110, G=0111, H=1000, I=1001, J=1010, K=1011, L=1100 (binary sequence 1-12), then 'LEAD' in binary?
Binary coding: L=1100 + E=0101 + A=0001 + D=0100 = 1100010100010100

Question 2

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'CIPHER' by giving row and column numbers concatenated.
Position mapping: C→(0,2) I→(1,2) P→(2,3) H→(1,1) E→(0,4) R→(2,5) → 021223110425

Question 3

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'DECODE'?
Encoding 'DECODE': D→♥ E→♦ C→♣ O→♥ D→♥ E→♦ = ♥♦♣♥♥♦

Question 4

If A=0001, B=0010, C=0011, D=0100, E=0101, F=0110, G=0111, H=1000, I=1001, J=1010, K=1011, L=1100 (binary sequence 1-12), then 'CAB' in binary?
Binary coding: C=0011 + A=0001 + B=0010 = 001100010010

Question 5

If letters are at coordinates A(1,1), B(1,2), C(1,3), D(1,4), E(2,1), F(2,2), G(2,3), H(2,4), I(3,1), J(3,2), K(3,3), L(3,4), M(4,1), N(4,2), O(4,3), P(4,4), then 'CODE' coordinates are?
Coordinate mapping: C(1, 3) O(4, 3) D(1, 4) E(2, 1)

Question 6

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'PUZZLE'?
Encoding 'PUZZLE': P→♠ L→★ E→♦ = ♠★♦

Question 7

Matrix A: 6 5 5 7 5 2 5 2 6 Matrix B: 9 8 6 6 3 4 5 3 7 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 6+9=15 + 5+8=13 + 5+6=11
Row2: 7+6=13 + 5+3=8 + 2+4=6
Row3: 5+5=10 + 2+3=5 + 6+7=13

Question 8

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'DECODE' by giving row and column numbers concatenated.
Position mapping: D→(0,3) E→(0,4) C→(0,2) O→(2,2) D→(0,3) E→(0,4) → 030402220304

Question 9

If A=0001, B=0010, C=0011, D=0100, E=0101, F=0110, G=0111, H=1000, I=1001, J=1010, K=1011, L=1100 (binary sequence 1-12), then 'BAD' in binary?
Binary coding: B=0010 + A=0001 + D=0100 = 001000010100

Question 10

Original matrix: A B C D E F G H I After row-reversed transformation, the matrix becomes:
Applying row-reversed transformation yields:
C B A
F E D
I H G

Question 11

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'DECODE'?
Encoding 'DECODE': D→♥ E→♦ C→♣ O→♥ D→♥ E→♦ = ♥♦♣♥♥♦

Question 12

In matrix: 1 2 3 4 5 6 7 8 9 What is the sum of anti-diagonal?
The sum of anti-diagonal: 3 + 5 + 7 = 15

Question 13

In matrix: 1 2 3 4 5 6 7 8 9 What is the sum of main diagonal?
The sum of main diagonal: 1 + 5 + 9 = 15

Question 14

Original matrix: 1 2 3 4 5 6 7 8 9 After row-reversed transformation, the matrix becomes:
Applying row-reversed transformation yields:
3 2 1
6 5 4
9 8 7

Question 15

In matrix: 3 8 1 5 2 7 9 4 6 Which row has the minimum sum?
Row sums: Row1=12, Row2=14, Row3=19. Minimum is Row 1 with sum 12

Question 16

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'PUZZLE'?
Encoding 'PUZZLE': P→♠ L→★ E→♦ = ♠★♦

Question 17

In the 4×4 matrix: A B C D E F G H I J K L M N O P If we follow the last column path (Start at (1,4) and move down), what word do we get?
Following the last column path: (1,4)=D (2,4)=H (3,4)=L (4,4)=P → DHLP

Question 18

If A=0001, B=0010, C=0011, D=0100, E=0101, F=0110, G=0111, H=1000, I=1001, J=1010, K=1011, L=1100 (binary sequence 1-12), then 'FACE' in binary?
Binary coding: F=0110 + A=0001 + C=0011 + E=0101 = 0110000100110101

Question 19

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'SECRET'?
Encoding 'SECRET': S→♦ E→♦ C→♣ R→♥ E→♦ T→★ = ♦♦♣♥♦★

Question 20

In the 4×4 matrix: A B C D E F G H I J K L M N O P If we follow the anti-diagonal path (Start at (1,4) and move diagonally down-left), what word do we get?
Following the anti-diagonal path: (1,4)=D (2,3)=G (3,2)=J (4,1)=M → DGJM
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