ReasoningAbility.com

Matrix Coding - Advanced Level: matrix decoding ADVANCED

Exam-focused holistic practice ★ worksheet: 20 advanced-level matrix coding questions. Worksheet 23 of 30 targets matrix decoding. Build proficiency in grid coding, row-column decoding, position coding with detailed solutions. Ideal for advanced competitive exam preparation.

📝 Worksheet 23 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 23 of 30 (76% complete)

Question 1

Matrix A: 1 3 2 6 2 1 1 1 9 Matrix B: 3 1 9 2 5 9 1 5 7 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 1+3=3 + 3+1=3 + 2+9=18
Row2: 6+2=12 + 2+5=10 + 1+9=9
Row3: 1+1=1 + 1+5=5 + 9+7=63
arithmetic, operations, calculation

Question 2

Original matrix: 2 4 6 8 10 12 14 16 18 After row-reversed transformation, the matrix becomes:
Applying row-reversed transformation yields:
6 4 2
12 10 8
18 16 14
transformation, geometry, rotation

Question 3

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

Question 4

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 'FACE' coordinates are?
Coordinate mapping: F(2, 2) A(1, 1) C(1, 3) E(2, 1)
coordinates, position, mapping

Question 5

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 6

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 'CODE' is coded as (row,col) combination. What is the code?
Matrix positions: C=(1,3) O=(3,5) D=(1,4) E=(1,5) → Combined code: 13351415
matrix, position, coding

Question 7

Original matrix: 2 4 6 8 10 12 14 16 18 After row-reversed transformation, the matrix becomes:
Applying row-reversed transformation yields:
6 4 2
12 10 8
18 16 14
transformation, geometry, rotation

Question 8

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

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 'CODE' coordinates are?
Coordinate mapping: C(1, 3) O(4, 3) D(1, 4) E(2, 1)
coordinates, position, mapping

Question 10

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
binary, advanced, encoding

Question 11

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 12

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

Question 13

Original matrix: 1 2 3 4 5 6 7 8 9 After rotated-270 transformation, the matrix becomes:
Applying rotated-270 transformation yields:
3 6 9
2 5 8
1 4 7
transformation, geometry, rotation

Question 14

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
transformation, geometry, rotation

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 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 16

Matrix A: 6 7 5 7 2 5 4 5 9 Matrix B: 1 3 4 9 6 4 1 1 8 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 6+1=7 + 7+3=10 + 5+4=9
Row2: 7+9=16 + 2+6=8 + 5+4=9
Row3: 4+1=5 + 5+1=6 + 9+8=17
arithmetic, operations, calculation

Question 17

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

Question 18

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
matrix, position, coding

Question 19

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 20

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'SECRET' by giving row and column numbers concatenated.
Position mapping: S→(3,0) E→(0,4) C→(0,2) R→(2,5) E→(0,4) T→(3,1) → 300402250431
cipher, position, encoding
Previous Worksheet Next Worksheet