Class 12 · ICSE · Mathematics

Matrices

Types of matrices, addition, scalar multiplication, matrix multiplication, transpose and the inverse of a matrix by elementary operations.

Questions: 5
PYQs: 0
Topics: 0

Syllabus mapping: ISC syllabus (CISCE)

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5 questions in this chapter.

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Class 12 · Mathematics · Matrices
Define a symmetric and a skew-symmetric matrix, and state what can be said about the diagonal of a skew-symmetric matrix.
3 marksMediumShort answer
Answer available
Class 12 · Mathematics · Matrices
Prove that (AB)^T = B^TA^T for matrices for which the product is defined.
3 marksMediumShort answer
Answer available
Class 12 · Mathematics · Matrices
If A is a 3 × 3 matrix with A² = A and A is not the identity, what is such a matrix called?
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Matrices
If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], find AB and BA and state whether they are equal.
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Matrices
If A = [[2, 3], [1, 4]], find A⁻¹.
2 marksEasyNumerical