Test Index

CBSE Class 12 Math 2024 All Sets Solved Paper

© examsnet.com
Question : 1 of 20
Marks: +1, -0
If the sum of all the elements of a 3 x 3 scalar matrix is 9, then the product of all its elements is :
Solution:  
A scalar matrix is a square matrix in which all of the principal diagonal elements are equal and the remaining elements are zero.
3 x 3 scalar matrix k000k000k\begin{array}{ccc} k & 0 & 0 \\ 0 & k & 0 \\ 0 & 0 & k \end{array}
Given k+0+0+0+k+0+0+0+k=9k + 0 + 0 + 0 + k + 0 + 0 + 0 + k = 9
⇒3k=9\Rightarrow 3k = 9
⇒k=3\Rightarrow k = 3
So, the product of all its elements are k×0×0×0×k×0×0×0×k=0k \times 0 \times 0 \times 0 \times k \times 0 \times 0 \times 0 \times k = 0
© examsnet.com
Go to Question: