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Matrix Arithmetic - Intermediate Level: tricky scenarios handling Matrix Arithmetic INTERMEDIATE

This expert challenge 📈 worksheet focuses on Matrix Arithmetic - a key topic in Matrix Coding. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve matrix arithmetic, matrix arithmetic tricks, and matrix arithmetic shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Matrix Arithmetic
Worksheet 5 of 10 (44% complete)

Question 1

Matrix A: 9 9 9 7 8 5 2 4 7 Matrix B: 4 3 9 7 8 1 6 5 3 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 9+4=13 + 9+3=12 + 9+9=18
Row2: 7+7=14 + 8+8=16 + 5+1=6
Row3: 2+6=8 + 4+5=9 + 7+3=10

Question 2

Matrix A: 7 8 1 6 2 6 4 2 2 Matrix B: 4 2 9 3 5 1 3 4 9 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 7+4=28 + 8+2=16 + 1+9=9
Row2: 6+3=18 + 2+5=10 + 6+1=6
Row3: 4+3=12 + 2+4=8 + 2+9=18

Question 3

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

Question 4

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

Question 5

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

Question 6

Matrix A: 8 8 4 3 2 4 9 1 7 Matrix B: 1 1 9 1 7 9 6 6 6 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 8+1=8 + 8+1=8 + 4+9=36
Row2: 3+1=3 + 2+7=14 + 4+9=36
Row3: 9+6=54 + 1+6=6 + 7+6=42

Question 7

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

Question 8

Matrix A: 3 7 8 4 2 5 9 8 8 Matrix B: 4 9 7 9 4 4 3 5 6 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 3+4=12 + 7+9=63 + 8+7=56
Row2: 4+9=36 + 2+4=8 + 5+4=20
Row3: 9+3=27 + 8+5=40 + 8+6=48

Question 9

Matrix A: 8 7 2 5 1 1 4 8 2 Matrix B: 8 4 5 6 5 4 3 1 7 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 8+8=64 + 7+4=28 + 2+5=10
Row2: 5+6=30 + 1+5=5 + 1+4=4
Row3: 4+3=12 + 8+1=8 + 2+7=14

Question 10

Matrix A: 3 1 5 8 5 7 6 6 4 Matrix B: 2 9 9 5 8 4 7 7 1 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 3+2=6 + 1+9=9 + 5+9=45
Row2: 8+5=40 + 5+8=40 + 7+4=28
Row3: 6+7=42 + 6+7=42 + 4+1=4

Question 11

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

Question 12

Matrix A: 1 1 9 8 8 4 7 7 3 Matrix B: 8 1 4 5 7 1 5 4 1 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 1+8=8 + 1+1=1 + 9+4=36
Row2: 8+5=40 + 8+7=56 + 4+1=4
Row3: 7+5=35 + 7+4=28 + 3+1=3

Question 13

Matrix A: 9 5 3 7 8 4 5 7 1 Matrix B: 8 1 9 6 3 8 9 5 4 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 9+8=17 + 5+1=6 + 3+9=12
Row2: 7+6=13 + 8+3=11 + 4+8=12
Row3: 5+9=14 + 7+5=12 + 1+4=5

Question 14

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

Question 15

Matrix A: 1 9 2 7 8 8 1 3 3 Matrix B: 9 1 8 8 7 8 9 4 2 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 1+9=10 + 9+1=10 + 2+8=10
Row2: 7+8=15 + 8+7=15 + 8+8=16
Row3: 1+9=10 + 3+4=7 + 3+2=5

Question 16

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

Question 17

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

Question 18

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

Question 19

Matrix A: 7 3 7 4 2 5 5 2 6 Matrix B: 1 1 5 6 7 7 6 6 8 What is the result of matrix element-wise multiplication (element-wise)?
Performing element-wise element-wise multiplication:
Row1: 7+1=7 + 3+1=3 + 7+5=35
Row2: 4+6=24 + 2+7=14 + 5+7=35
Row3: 5+6=30 + 2+6=12 + 6+8=48

Question 20

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