Answer available
Class 12 · Mathematics · Determinants
State the condition on the determinant of the coefficient matrix for a system of linear equations to have a unique solution.
3 marksMediumShort answer
Class 12 · ICSE · Mathematics
Determinants
Properties of determinants, minors and cofactors, the adjoint and inverse of a matrix, and solving a system of linear equations.
- Questions
- 5
- PYQs
- 0
- Topics
- 0
Syllabus mapping: ISC syllabus (CISCE)
Questions
5 questions in this chapter.
- Answer available
Class 12 · Mathematics · Determinants
If A is a 3 × 3 matrix with |A| = 5, find |2A| and |adj A|.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Determinants
Show that the points (1, 2), (3, 6) and (5, 10) are collinear using a determinant.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Determinants
Evaluate the determinant of [[1, 2, 3], [4, 5, 6], [7, 8, 9]].
2 marksEasyNumerical
- Answer available
Class 12 · Mathematics · Determinants
Find the area of the triangle with vertices (1, 2), (4, 6) and (−2, 3) using determinants.
3 marksMediumNumerical