Determinants — practice questions
11 curated practice questions from Determinants (Mathematics Class 12, CBSE) — 7 medium, 4 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.
- If B = [b_ ij ]_ 2 2 where b_ ij = cases i + j & if i j i^2 - 2j & if i = j cases , then find B^ -1 .
- If A = bmatrix a & 0 & 1 0 & 1 & 2 0 & 0 & 4 bmatrix and |2A| = 32 , then a is:
- If A = bmatrix 1 & 0 & 1 0 & 1 & -1 0 & 0 & 2 bmatrix , then show that A^2 - 3A + 2I = O . Hence, find A^ -1 .
- Assertion (A): If A = bmatrix 2 & 2 - & bmatrix is a non-singular matrix and A( adj A) = bmatrix & 0 0 & bmatrix , then…
- If a^3 = 1 , where a 1 , then vmatrix a & a^2 & a a^2 & 1 & a a^2 & a & a^2 vmatrix =
- Assertion (A): A square non-singular matrix M satisfies -M^2 + M + 3I = 0 , then M^ -1 = 1 3 (M - I) . Reason (R)…
- If M = bmatrix 2 & 3 5 & -2 bmatrix , show that 19 M^ -1 = M .
- If A = bmatrix 1 & 0 & -2 -2 & -1 & 2 3 & 4 & 1 bmatrix , find A^ -1 . Using A^ -1 , solve the system of linear…
- While eating a slice of pizza with her friends, Shefali noted that it is shaped like a triangle. She questioned her…
- Find the non-singular matrix A with |A| 0 , if adj A = bmatrix -1 & -2 & 1 3 & 0 & -3 1 & -4 & 1 bmatrix .
- vmatrix 2 40^ & 2 50^ -3 40^ & 3 50^ vmatrix =