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Matrix Coding - Intermediate Level: matrix patterns INTERMEDIATE

Master matrix coding concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into matrix patterns while learning grid coding, row-column decoding, position coding. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 16 of 30 (53% complete)

Question 1

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 'MATH' is coded as (row,col) combination. What is the code?
Matrix positions: M=(3,3) A=(1,1) T=(4,5) H=(2,3) → Combined code: 33114523
matrix, position, coding

Question 2

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

Question 3

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 top row path (Start at (1,1) and move right), what word do we get?
Following the top row path: (1,1)=A (1,2)=B (1,3)=C (1,4)=D → ABCD
path, navigation, reading

Question 4

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→♦ = ♠★♦
decoding, cipher, puzzle

Question 5

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'PUZZLE' by giving row and column numbers concatenated.
Position mapping: P→(2,3) U→(3,2) Z→(4,1) Z→(4,1) L→(1,5) E→(0,4) → 233241411504
cipher, position, encoding

Question 6

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

Question 7

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
pattern, completion, reasoning

Question 8

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
path, navigation, reading

Question 9

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
numbers, matrix, arithmetic

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→♦ = ♠★♦
decoding, cipher, puzzle

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 'SECRET'?
Encoding 'SECRET': S→♦ E→♦ C→♣ R→♥ E→♦ T→★ = ♦♦♣♥♦★
decoding, cipher, puzzle

Question 12

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

Question 13

Original matrix: A B C D E F G H I After rotated-180 transformation, the matrix becomes:
Applying rotated-180 transformation yields:
I H G
F E D
C B A
transformation, geometry, rotation

Question 14

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 main diagonal path (Start at (1,1) and move diagonally down-right), what word do we get?
Following the main diagonal path: (1,1)=A (2,2)=F (3,3)=K (4,4)=P → AFKP
path, navigation, reading

Question 15

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
path, navigation, reading

Question 16

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 'BRAIN' is coded as (row,col) combination. What is the code?
Matrix positions: B=(1,2) R=(4,3) A=(1,1) I=(2,4) N=(3,4) → Combined code: 1243112434
matrix, position, coding

Question 17

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
cipher, position, encoding

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 top row path (Start at (1,1) and move right), what word do we get?
Following the top row path: (1,1)=A (1,2)=B (1,3)=C (1,4)=D → ABCD
path, navigation, reading

Question 19

In matrix: 1 2 3 4 5 6 7 8 9 What is the sum of all corners?
The sum of all corners: 1 + 3 + 7 + 9 = 20
numbers, matrix, arithmetic

Question 20

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
numbers, matrix, arithmetic
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