ICSE question bank

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5 questions

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
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

ICSE question bank

State the condition on the determinant of the coefficient matrix for a system of linear equations to have a unique solution.

If A is a 3 × 3 matrix with |A| = 5, find |2A| and |adj A|.

Show that the points (1, 2), (3, 6) and (5, 10) are collinear using a determinant.

Evaluate the determinant of [[1, 2, 3], [4, 5, 6], [7, 8, 9]].

Find the area of the triangle with vertices (1, 2), (4, 6) and (−2, 3) using determinants.