Matrices: Class 12 Mathematics (CBSE) important questions and practice
Matrices is chapter 3 of 13 in CBSE Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Types of matrices and equality of matrices
- Operations: addition, scalar multiplication, multiplication and their properties
- Transpose, symmetric and skew-symmetric matrices
- Expressing a matrix as the sum of symmetric and skew-symmetric matrices
- Invertible matrices and uniqueness of inverse (elementary row operations removed)
What examiners usually ask
- If A = [[1, 2], [3, 4]], find A^2 - 5A + 7I
- Express the matrix A = [[3, 5], [1, -1]] as the sum of a symmetric and a skew-symmetric matrix
- Find x and y if 2[[1, 3], [0, x]] + [[y, 0], [1, 2]] = [[5, 6], [1, 8]]
Exam tip
Matrix multiplication is not commutative, so keep the order of multiplication in every step; the symmetric-plus-skew-symmetric decomposition uses P = (A + A')/2 and Q = (A - A')/2 and is asked almost every year.
Matrices on other boards and exams
Frequently asked questions
What are the important questions from Matrices for CBSE Class 12?
The question types listed above repeat most often in CBSE Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Matrices in the CBSE Class 12 Mathematics syllabus?
Yes. Matrices is part of the current CBSE Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Matrices MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.