Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If \(A=\left[\begin{array}{lll}1&0&1\\ 0&1&2\\ 0&0&4\end{array}\right]\) then which of the following relation is satisfies

Options:

\(\left|2A\right|=4\left|A\right|\)

\(\left|3A\right|=27\left|A\right|\)

\(\left|A\right|=0\)

None

Correct Answer:

\(\left|3A\right|=27\left|A\right|\)

Explanation:

Find \(\left|A\right|\) and \(\left|3A\right|\)