CBSE 2023 · Region 1 · Set 1 · Q2 · 1 mark
If $\displaystyle |\mathrm{A}|=2$, where A is a $\displaystyle 2 \times 2$ matrix, then $\displaystyle \left|4 \mathrm{~A}^{-1}\right|$ equals :
Official answer
From CBSE’s own marking scheme for this paper.
(C)
$\displaystyle 8$
DeterminantsAdjoint and Inverse of a MatrixApplymcqeasy
More from Determinants
- If (a, b), (c, d) and (e, f) are the vertices of ABC and Δ denotes the area of ABC, then ^2 is equal to2023 · asked 3×
- If A and B are two square matrices each of order 3 with A =3 and B =5, then 2 AB is:2025 · asked 3×
- Let A be a 3 × 3 matrix such that adj A =64. Then A is equal to:2023 · asked 3×
- If the area of Δ ABC with vertices A(3, 1), B(-2,1) and C(0, k) is 5 sq. units, then values of k are:2026 · asked 3×
- If A is a square matrix of order 3 such that the value of adj · A =8, then the value of A^T is:2024 · asked 3×
- One of the values of x for which =1 is2026 · asked 3×
- If A=[ ], then find A^-1 and hence solve the following system of equations: OR Find the product of the…2024 · asked 3×
- Assertion: For matrix A=[ ], where θ ∈[0,2 π], A ∈[2,4]. Reason (R): cos θ ∈[-1,1], θ ∈[0,2 π].2024 · asked 3×
CBSE Class 12 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.