Class 12 Determinants · Conceptual Answer1 Marksdeterminant_scaling
Class 12 Maths · Determinants · Conceptual Answer #85
For a 3×3 matrix A with det(A)=4, find det(2A).
✅ Step-by-Step Solution
Final Answer: 32
- Use det(2A)=2³det(A)=8·4=32.
- 32
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Use det(2A)=2³det(A)=8·4=32.
- [0.5 marks] 32
Master Chapter 4: Determinants
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Determinants.
← Previous Question
For A=\(\begin{bmatrix}0 & -1\\0 & 2\end{bmatrix}\) and…
Next Question →A is a square matrix of order n and det(A)=4. Find det(A adj(A)).
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…
Class 12 Determinants · Mcq Single Correct
For a 3×3 real matrix A, det(Aᵀ)=−3. Find det(AAᵀ).