Matrices — Important Questions
ICSE · Class 12 · Mathematics
97 important questions from Matrices for ICSE Class 12 Mathematics, with answers. Includes multiple choice and true false questions.
Interactive on Super Tutor
Studying Matrices? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
One of 11 illustrations for Matrices in Super Tutor — alongside flashcards, concept maps and practice questions.
Important Questions from Matrices
Matrix addition A + B is defined only when:
Show answer
A and B have the same order
Matrix addition requires A and B to have the exact same order (same number of rows and same number of columns).
If A is a 2×3 matrix and B is a 3×4 matrix, the order of AB is:
Show answer
2×4
If A is m×p and B is p×n, then AB is m×n. Here A is 2×3 and B is 3×4, so AB is 2×4.
Matrix multiplication is commutative, i.e., AB = BA always.
Show answer
False
Matrix multiplication is NOT commutative. In general AB ≠ BA. Even when both products are defined and of the same order, they need not be equal.
The transpose of a matrix A = [a_ij]_{m×n} is:
Show answer
[a_ji]_{n×m}
Transpose swaps row and column indices: (A^T)_ij = a_ji. The order also swaps from m×n to n×m.
+93 more questions on Matrices (ICSE Class 12 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Matrices for ICSE Class 12 Mathematics?
How many important questions are there in Matrices?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Matrices
Practice Quiz
Test yourself with a quick quiz
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Matrices chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 12 Mathematics. Free to start, no card needed.