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Matrix Coding - Beginner-Intermediate Level: diagonal patterns BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level matrix coding problems. Worksheet 11 of 30 focuses on diagonal patterns. Practice position coding, matrix manipulation, cell relationships with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 11 of 30 (36% complete)

Question 1

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

Question 2

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 3

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)
coordinates, position, mapping

Question 4

In matrix: 3 8 1 5 2 7 9 4 6 Which column has the minimum sum?
Column sums: Col1=17, Col2=14, Col3=14. Minimum is Column 2 with sum 14
operations, analysis, comparison

Question 5

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
binary, advanced, encoding

Question 6

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

Question 7

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

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

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 10

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 11

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

Question 12

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
operations, analysis, comparison

Question 13

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 14

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
binary, advanced, encoding

Question 15

In matrix: 1 2 3 4 5 6 7 8 9 What is the product of main diagonal?
The product of main diagonal: 1 × 5 × 9 = 45
numbers, matrix, arithmetic

Question 16

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 17

Find the missing element (?) in this matrix pattern: 1 3 5 2 4 6 3 5 ? What should replace the '?'?
Pattern: arithmetic progression - rows increase by 2, columns increase by 1

Step 1: Observe the pattern in first row: 1 → 3 → 5 (adds 2 each time)
Step 2: Second row: 2 → 4 → 6 (also adds 2 each time)
Step 3: Third row: 3 → 5 → ? (should also add 2)
Step 4: Therefore, ? should be 7 (5 + 2)
Step 5: Check column pattern: Col1: 1,2,3 (+1), Col2: 3,4,5 (+1), Col3: 5,6,7 (+1)
Pattern: Each row increases by 2, each column increases by 1 - consistent across matrix

Answer: 7
pattern, completion, reasoning

Question 18

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

Question 19

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→* = #*#*
pattern, symbols, coding

Question 20

Matrix A: 7 6 4 4 6 4 9 1 5 Matrix B: 3 2 7 8 7 6 4 7 3 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 7+3=10 + 6+2=8 + 4+7=11
Row2: 4+8=12 + 6+7=13 + 4+6=10
Row3: 9+4=13 + 1+7=8 + 5+3=8
arithmetic, operations, calculation
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