If A and B are matrices of order 3 and |A| = 5,|B| = 3 , then |3AB| = 27 5 3 = 405 Correct Answer True

We know that, |AB| = |A| |B| |3AB| = 27|AB| = 27|A| |B| = 27 5 3 = 405

Determinants — Class 12 Maths Solution

exemplar tf TrueFalse NCERT,Exemp,Q.51, Page.83

Question

If $A$ and $B$ are matrices of order 3 and $|A| = 5,|B| = 3$, then $|3AB| = 27 \times 5 \times 3 = 405$

Correct Answer True

Step-by-step Solution

We know that, $|AB| = |A| \cdot |B|$

$\therefore$ $|3AB| = 27|AB|$

$= 27|A| \cdot |B|$

$= 27 \times 5 \times 3 = 405$

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Determinants. Curated by Sachin Sharma. Free for all students.