Matrix Coding - Advanced Level: coordinate coding ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level matrix coding problems. Focus on coordinate coding while practicing position coding, matrix manipulation, cell relationships. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 25 of 30 (83% 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 'GAME' is coded as (row,col) combination. What is the code?
Matrix positions: G=(2,2) A=(1,1) M=(3,3) E=(1,5) → Combined code: 22113315

Question 2

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 3

Matrix A: 4 5 9 4 2 1 1 2 9 Matrix B: 2 9 2 4 8 2 4 1 8 What is the result of matrix subtraction (element-wise)?
Performing element-wise subtraction:
Row1: 4+2=2 + 5+9=-4 + 9+2=7
Row2: 4+4=0 + 2+8=-6 + 1+2=-1
Row3: 1+4=-3 + 2+1=1 + 9+8=1

Question 4

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 5

Matrix A: 2 9 7 6 5 2 7 3 1 Matrix B: 7 3 5 6 4 8 4 9 5 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 2+7=14 + 9+3=27 + 7+5=35
Row2: 6+6=36 + 5+4=20 + 2+8=16
Row3: 7+4=28 + 3+9=27 + 1+5=5

Question 6

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 7

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

Question 8

In matrix: 1 4 7 2 5 8 3 6 9 Which row has the maximum sum?
Row sums: Row1=12, Row2=15, Row3=18. Maximum is Row 3 with sum 18

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 'HEAD' in binary?
Binary coding: H=1000 + E=0101 + A=0001 + D=0100 = 1000010100010100

Question 10

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'ENCODE' by giving row and column numbers concatenated.
Position mapping: E→(0,4) N→(2,1) C→(0,2) O→(2,2) D→(0,3) E→(0,4) → 042102220304

Question 11

Original matrix: 2 4 6 8 10 12 14 16 18 After rotated-180 transformation, the matrix becomes:
Applying rotated-180 transformation yields:
18 16 14
12 10 8
6 4 2

Question 12

Matrix A: 5 9 9 7 5 5 5 4 2 Matrix B: 2 2 3 8 5 5 7 4 2 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 5+2=10 + 9+2=18 + 9+3=27
Row2: 7+8=56 + 5+5=25 + 5+5=25
Row3: 5+7=35 + 4+4=16 + 2+2=4

Question 13

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 14

In matrix: 2 9 4 7 5 3 6 1 8 Which row has the minimum sum?
Row sums: Row1=15, Row2=15, Row3=15. Minimum is Row 1 with sum 15

Question 15

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

Question 16

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 17

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 18

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 19

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 20

Matrix A: 3 6 1 7 3 9 8 7 7 Matrix B: 8 5 1 1 6 2 7 1 8 What is the result of matrix subtraction (element-wise)?
Performing element-wise subtraction:
Row1: 3+8=-5 + 6+5=1 + 1+1=0
Row2: 7+1=6 + 3+6=-3 + 9+2=7
Row3: 8+7=1 + 7+1=6 + 7+8=-1
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