Show by an example that for (A 0,B 0 ) and (AB = 0 ).

Let (A = 0 ) and (B = 0 ) ( ) (AB = = 0 ) Hence proved.

Matrices — Class 12 Maths Solution

exemplar sa SA NCERT,Exemp,Q.no.16,Page 54

Question

Show by an example that for $A \ne 0,B \ne 0$ and $AB = 0$.

Step-by-step Solution

Let $A = \left[ {\begin{array}{cccccccccccccccccccc}0&{ - 4}\\0&2\end{array}} \right] \ne 0$ and $B = \left[ {\begin{array}{llllllllllllllllllll}3&5\\0&0\end{array}} \right] \ne 0$

$\therefore$ $AB = \left[ {\begin{array}{llllllllllllllllllll}0&0\\0&0\end{array}} \right] = 0$

Hence proved.

← All Matrices solutions Practice tests →

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