Matrices
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
If $A$ is a square matrix of order 3, then $|k A|$ is equal to:
(a) $k^3 |A|$
(b) $k |A|$
(c) $k^2 |A|$
(d) $3k |A|$
Step-by-Step Solution
For order n, |kA| = k^n |A|. Here n = 3 => k^3 |A|. [1.0 Mark]
---
🎯 Official CBSE Marking Scheme:
Selecting $k^3 |A|$: 1.0 Mark
Correct Answer: $k^3 |A|$
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.