class 12 maths determinants

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

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📘 Determinants NCERT,Exemp,Q.51, Page.83 TrueFalse

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

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

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

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

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

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

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