Class 12 Determinants · Mcq Single Correct1 Marksdeterminant_properties
Class 12 Maths · Determinants · Mcq Single Correct #6
For a 3×3 real matrix A, det(Aᵀ)=−3. Find det(AAᵀ).
✅ Step-by-Step Solution
Final Answer: Option (A): 9
- det(A)=det(Aᵀ)=−3 and det(AAᵀ)=det(A)det(Aᵀ)=9.
Master Chapter 4: Determinants
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Determinants.
← Previous Question
If x=−4 is a root of \(\begin{vmatrix}x & 2 & 3\\1 & x & 1\\3 & 2 &…
Next Question →For A=\(\begin{bmatrix}α & 2\\2 & α\end{bmatrix}\), det(A³)=27. Find…
More Practice Questions in Determinants
Related Questions in Determinants
Class 12 Determinants · Mcq Single Correct
If \(\begin{vmatrix}2 & 4\\5 & 1\end{vmatrix}\)=\(\begin{vmatrix}2x & 4\\6 &…
Class 12 Determinants · Mcq Single Correct
The area of the triangle with vertices (−3,0),(3,0),(0,k) is 9 square units. Find k.
Class 12 Determinants · Mcq Single Correct
Let f(x)=\(\begin{vmatrix}0 & x−a & x−b\\x+a & 0 & x−c\\x+b & x+c & 0\end{vmatrix}\). Which…
Class 12 Determinants · Mcq Single Correct
If \(\begin{vmatrix}2 & 3 & 2\\x & x & x\\4 & 9 & 1\end{vmatrix}\)+3=0, find x.
Class 12 Determinants · Mcq Single Correct
If x=−4 is a root of \(\begin{vmatrix}x & 2 & 3\\1 & x & 1\\3 & 2 & x\end{vmatrix}\)=0, find…
CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Q4
If Δ₁ = | 1 0 0; 0 2 0; 0 0 3 | and Δ₂ = | 0 2 0; 1 0 0; 0 0 6 |, then