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BitWithBite
Mathematics Worksheet

🔲 Matrices

Chapter: Linear Algebra · Level ★★★ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Recognise the identity matrix.Find the transpose of a matrix.Identify a diagonal matrix.Work with matrix dimensions.
📚 Quick Recap

A matrix is a rectangular array of numbers organized into rows and columns — this lesson goes beyond the basics to cover the special types of matrices that show up constantly in linear algebra.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1The diagonal entries of the 4×4 identity matrix are:
2The transpose of [[2,4],[6,8]] is:
3The transpose of a 2×3 matrix has size:
4Is [[3,1],[0,5]] a diagonal matrix?

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5The identity matrix has on its main diagonal.
6The transpose swaps rows and .
7Write the 4×4 identity matrix's diagonal entries.
8Find the transpose of [[2,4],[6,8]].
9Find the transpose of [[1,0,0],[0,1,0]] (a 2×3 matrix).

🚀 Section C · Challenge ● CHALLENGE 5

10Is [[3,1],[0,5]] a diagonal matrix?
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 1s   6 columns   7 = 1, 1, 1, 1   8 = [[2,6],[4,8]]   9 = [[1,0],[0,1],[0,0]]  |  10 = No

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