ReasoningAbility.com

Matrix Arithmetic Beginner-Intermediate Worksheet: Focus on common variations practice Matrix Arithmetic BEGINNER INTERMEDIATE

Level up your Matrix Arithmetic skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: matrix arithmetic for competitive exams, how to solve matrix arithmetic, matrix arithmetic tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Matrix Arithmetic
Worksheet 4 of 10 (33% complete)

Question 1

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

Question 2

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

Question 3

Matrix A: 4 9 8 4 6 4 7 8 3 Matrix B: 5 7 8 8 1 6 6 1 9 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 4+5=9 + 9+7=16 + 8+8=16
Row2: 4+8=12 + 6+1=7 + 4+6=10
Row3: 7+6=13 + 8+1=9 + 3+9=12

Question 4

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

Question 5

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

Question 6

Matrix A: 7 7 9 1 8 2 5 5 3 Matrix B: 5 9 4 3 7 3 5 3 6 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 7+5=35 + 7+9=63 + 9+4=36
Row2: 1+3=3 + 8+7=56 + 2+3=6
Row3: 5+5=25 + 5+3=15 + 3+6=18

Question 7

Matrix A: 9 8 8 2 4 5 1 7 1 Matrix B: 5 1 9 3 7 2 8 4 9 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 9+5=45 + 8+1=8 + 8+9=72
Row2: 2+3=6 + 4+7=28 + 5+2=10
Row3: 1+8=8 + 7+4=28 + 1+9=9

Question 8

Matrix A: 6 8 6 2 8 1 8 7 6 Matrix B: 5 6 6 7 1 6 1 5 2 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 6+5=30 + 8+6=48 + 6+6=36
Row2: 2+7=14 + 8+1=8 + 1+6=6
Row3: 8+1=8 + 7+5=35 + 6+2=12

Question 9

Matrix A: 8 8 5 7 1 7 8 3 3 Matrix B: 3 4 9 8 4 6 1 5 5 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 8+3=24 + 8+4=32 + 5+9=45
Row2: 7+8=56 + 1+4=4 + 7+6=42
Row3: 8+1=8 + 3+5=15 + 3+5=15

Question 10

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

Question 11

Matrix A: 3 2 7 5 7 8 5 1 3 Matrix B: 7 6 4 3 8 9 2 7 6 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 3+7=21 + 2+6=12 + 7+4=28
Row2: 5+3=15 + 7+8=56 + 8+9=72
Row3: 5+2=10 + 1+7=7 + 3+6=18

Question 12

Matrix A: 6 4 9 5 8 2 7 7 4 Matrix B: 5 6 3 3 5 1 7 8 5 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 6+5=11 + 4+6=10 + 9+3=12
Row2: 5+3=8 + 8+5=13 + 2+1=3
Row3: 7+7=14 + 7+8=15 + 4+5=9

Question 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

Matrix A: 4 8 8 3 6 1 3 1 6 Matrix B: 2 5 4 9 7 7 7 9 1 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 4+2=8 + 8+5=40 + 8+4=32
Row2: 3+9=27 + 6+7=42 + 1+7=7
Row3: 3+7=21 + 1+9=9 + 6+1=6
Previous Worksheet Next Worksheet