BitWithBite
Mathematics Worksheet
➕ Matrix Operations
SCORE___ / 20
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After this worksheet you can
Multiply two matrices.Know when matrix multiplication is defined.Find the inverse of a 2×2 matrix.Use the identity property A·A−1 = I.📚 Quick Recap
Beyond simple addition, matrices can be multiplied together and even 'divided' through inverses — operations that power everything from computer graphics to solving systems of equations.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1[[2,1],[0,3]] · [[1,4],[2,0]] = ?
2[[1,2],[3,4]] · [[0,1],[1,0]] = ?
3The inverse of [[3,2],[1,1]] (det = 1) is:
4To multiply A·B, the columns of A must equal the:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5To multiply A·B, the columns of A must match the of B.
6A · A−1 = the matrix.
7Multiply [[2,1],[0,3]] by [[1,4],[2,0]].
8Multiply [[1,2],[3,4]] by [[0,1],[1,0]].
9Find the inverse of [[3,2],[1,1]].
🚀 Section C · Challenge ● CHALLENGE 5
10Find the inverse of [[4,7],[2,6]].
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-A | 5 rows 6 identity 7 = [[4,8],[6,0]] 8 = [[2,1],[4,3]] 9 = det=1, inverse=[[1,−2],[−1,3]] | 10 = det=10, inverse=[[0.6,−0.7],[−0.2,0.4]]