Matrix Coding - Beginner Level: row-column decoding BEGINNER

Exam-focused quick revision round worksheet: 20 beginner-level matrix coding questions. Worksheet 3 of 30 targets row-column decoding. Build proficiency in row-column decoding, position coding, matrix manipulation with detailed solutions. Ideal for entry-level competitive exam preparation.

📝 Worksheet 3 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

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Worksheet 3 of 30 (10% complete)

Question 1

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 2

In matrix: 1 4 7 2 5 8 3 6 9 Which column has the minimum sum?
Column sums: Col1=6, Col2=15, Col3=24. Minimum is Column 1 with sum 6

Question 3

Find the missing element (?) in this matrix pattern: 1 2 3 4 5 6 7 8 ? What should replace the '?'?
Pattern: consecutive numbers in row-major order

Step 1: Matrix filled row by row with consecutive numbers
Step 2: Row1: 1,2,3 | Row2: 4,5,6 | Row3: 7,8,?
Step 3: The sequence is 1 through 9
Step 4: Missing number is 9
Pattern: Standard 3×3 number matrix in sequential order

Answer: 9

Question 4

In a 5×5 matrix: Row1: A B C D E Row2: F G H I J Row3: K L M N O Row4: P Q R S T Row5: U V W X Y 'HARD' is coded as (row,col) combination. What is the code?
Matrix positions: H=(2,3) A=(1,1) R=(4,3) D=(1,4) → Combined code: 23114314

Question 5

Matrix A: 8 8 4 4 7 9 7 7 8 Matrix B: 1 6 5 9 6 1 7 6 6 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 8+1=9 + 8+6=14 + 4+5=9
Row2: 4+9=13 + 7+6=13 + 9+1=10
Row3: 7+7=14 + 7+6=13 + 8+6=14

Question 6

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 'TEXT' coordinates are?
Coordinate mapping: E(2, 1)

Question 7

In pattern matrix: * @ # $ @ # $ * # $ * @ $ * @ # Code 'CDAB' using A=col1, B=col2, C=col3, D=col4, row advances sequentially (row0, row1, row2, row3, then repeats)?
Coding process: C→# D→* A→# B→* = #*#*

Question 8

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

Question 9

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 'INFO' coordinates are?
Coordinate mapping: I(3, 1) N(4, 2) F(2, 2) O(4, 3)

Question 10

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 11

Matrix A: 2 3 6 7 4 5 1 8 8 Matrix B: 3 8 9 9 4 9 5 4 5 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 2+3=5 + 3+8=11 + 6+9=15
Row2: 7+9=16 + 4+4=8 + 5+9=14
Row3: 1+5=6 + 8+4=12 + 8+5=13

Question 12

Find the missing element (?) in this matrix pattern: 2 4 6 4 8 12 6 12 ? What should replace the '?'?
Pattern: multiplication table pattern

Step 1: First row: multiples of 2 (2×1, 2×2, 2×3)
Step 2: Second row: multiples of 4 (4×1, 4×2, 4×3)
Step 3: Third row: multiples of 6 (6×1, 6×2, 6×3)
Step 4: Missing cell is 6×3 = 18
Pattern: Matrix[i][j] = (row_value) × (j+1)

Answer: 18

Question 13

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

Question 14

Find the missing element (?) in this matrix pattern: ★ ♠ ♣ ♠ ♣ ♥ ♣ ♥ ? What should replace the '?'?
Pattern: cyclic pattern of symbols

Step 1: Identify symbol order: ★ → ♠ → ♣ → ♥ → ♦ (cyclic)
Step 2: First row: ★, ♠, ♣ (positions 1,2,3)
Step 3: Second row: ♠, ♣, ♥ (positions 2,3,4)
Step 4: Third row: ♣, ♥, ? (positions 3,4,5)
Step 5: Position 5 in cycle is ♦
Pattern: Each row shifts one position forward in the symbol cycle

Answer: ♦

Question 15

In a 5×5 matrix: Row1: A B C D E Row2: F G H I J Row3: K L M N O Row4: P Q R S T Row5: U V W X Y 'LOGIC' is coded as (row,col) combination. What is the code?
Matrix positions: L=(3,2) O=(3,5) G=(2,2) I=(2,4) C=(1,3) → Combined code: 3235222413

Question 16

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

Question 17

Matrix A: 4 7 3 8 5 1 4 6 1 Matrix B: 3 1 3 2 3 6 2 3 1 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 4+3=7 + 7+1=8 + 3+3=6
Row2: 8+2=10 + 5+3=8 + 1+6=7
Row3: 4+2=6 + 6+3=9 + 1+1=2

Question 18

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 first column path (Start at (1,1) and move down), what word do we get?
Following the first column path: (1,1)=A (2,1)=E (3,1)=I (4,1)=M → AEIM

Question 19

Matrix A: 4 7 2 7 8 3 4 1 8 Matrix B: 3 7 5 8 5 9 7 8 8 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 4+3=7 + 7+7=14 + 2+5=7
Row2: 7+8=15 + 8+5=13 + 3+9=12
Row3: 4+7=11 + 1+8=9 + 8+8=16

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 bottom row path (Start at (4,1) and move right), what word do we get?
Following the bottom row path: (4,1)=M (4,2)=N (4,3)=O (4,4)=P → MNOP
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